All public logs
Jump to navigation
Jump to search
Combined display of all available logs of ProofWiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
- 11:52, 29 March 2024 Prime.mover talk contribs created page Category:Hooke's Law (Created page with "{{Result-category}} Category:Elasticity Category:Physics")
- 10:05, 29 March 2024 Prime.mover talk contribs created page Definition:Homotopy Theory (Created page with "== Definition == <onlyinclude> '''Homotopy theory''' is a branch of '''algebraic topology''' concerned with the study of properties of topological spaces which are invariant under '''homotopy equivalence'''. </onlyinclude> == Also see == * Definition:Homotopy Group {{Link-to-category|Homotopy Theory|homotopy...")
- 09:59, 29 March 2024 Prime.mover talk contribs created page Definition talk:Fundamental Group (Created page with "With respect to the merge request: my suggestion is that the (now commented out) version of this definition that currently resides on Definition:Homotopy Group be moved into this page, perhaps as a second definition, making this a multiple definition page. I would make the attempt to do it myself, but until I have taken the time to study homotopy theory (not immediate on my course of actoon) it won't be for some time. --~~~~")
- 09:53, 29 March 2024 Prime.mover talk contribs created page Mathematician:Eduard Cech (Redirected page to Mathematician:Eduard Čech) Tag: New redirect
- 09:50, 29 March 2024 Prime.mover talk contribs created page Definition:Fundamental Group/Historical Note (Created page with "== Historical Note on Fundamental Group == <onlyinclude> The concept of the '''fundamental group''' was defined by {{AuthorRef|Henri Poincaré}} in $1895$. The definition was extended to $n > 1$ by {{AuthorRef|Eduard Čech}} in $1932$ and {{AuthorRef|Witold Hurewicz}} in $1935$. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Secon...")
- 09:39, 29 March 2024 Prime.mover talk contribs created page Definition:Poincare Group (Redirected page to Definition:Fundamental Group) Tag: New redirect
- 09:38, 29 March 2024 Prime.mover talk contribs created page Definition:Poincaré Group (Redirected page to Definition:Fundamental Group) Tag: New redirect
- 09:25, 29 March 2024 Prime.mover talk contribs created page Category:Homotopy Classes (Created page with "{{SubjectCategory|Homotopy Class}} Category:Homotopy Theory Category:Algebraic Topology")
- 09:25, 29 March 2024 Prime.mover talk contribs created page Category:Definitions/Homotopy Classes (Created page with "{{DefinitionCategory|def = Homotopy Class|Homotopy Theory|Algebraic Topology}}")
- 09:23, 29 March 2024 Prime.mover talk contribs created page Definition:Homotopy Class/Also known as (Created page with "== Homotopy Class: Also known as == <onlyinclude> A '''$K$-homotopy class''' is also known just as a '''homotopy class''' if $K \subseteq X$ is understood. </onlyinclude> Category:Definitions/Homotopy Classes")
- 09:14, 29 March 2024 Prime.mover talk contribs created page Definition:Homotopy Group/Also defined as (Created page with "== Homotopy Group: Also known as == <onlyinclude> Some sources define a '''homotopy group''' by instantiating the point $\mathbf a \in \mathbb S^n$ to be $\tuple {1, 0, \ldots, 0}$. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Definition:Homotopy Group|next = Definition:Homotopy Class|entry...")
- 08:47, 29 March 2024 Prime.mover talk contribs created page Category:Homotopy Groups (Created page with "{{SubjectCategory|Homotopy Group}} Category:Homotopy Theory Category:Algebraic Topology")
- 08:47, 29 March 2024 Prime.mover talk contribs created page Category:Definitions/Homotopy Groups (Created page with "{{DefinitionCategory|def = Homotopy Group|Homotopy Theory|Algebraic Topology}}")
- 08:29, 29 March 2024 Prime.mover talk contribs created page Definition:Inessential Mapping/Also known as (Created page with "== Inessential Mapping: Also known as == <onlyinclude> An '''inessential mapping''' is also known as an '''inessential map'''. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Contractible Space/Examples/Real Euclidean Space|next = Definition:Inessential Mapping|entry = homoto...")
- 08:27, 29 March 2024 Prime.mover talk contribs created page Category:Inessential Mappings (Created page with "{{SubjectCategory|Inessential Mapping}} Category:Homotopy Theory")
- 08:27, 29 March 2024 Prime.mover talk contribs created page Category:Definitions/Inessential Mappings (Created page with "{{DefinitionCategory|def = Inessential Mapping|Homotopy Theory}}")
- 08:24, 29 March 2024 Prime.mover talk contribs moved page Definition:Inessential Map to Definition:Inessential Mapping
- 08:24, 29 March 2024 Prime.mover talk contribs created page Definition:Inessential Map (Created page with "== Definition == <onlyinclude> Let $X$ and $Y$ be topological spaces. Let $f: X \to Y$ be a continuous mapping. $f$ is an '''inessential map''' if it is homotopic to a continuous mapping whose image consists of a single point of...")
- 08:15, 29 March 2024 Prime.mover talk contribs created page Contractible Space/Examples/Real Euclidean Space (Created page with "== Example of Contractible Space == <onlyinclude> The real Euclidean space $\R^n$ is a '''contractible space''' for all $n \in \Z_{>0}$. </onlyinclude> == Proof == {{ProofWanted}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Definition:Contractible Space/Definition 2|next = Definitio...")
- 22:11, 28 March 2024 Prime.mover talk contribs created page Category:Examples of Contractible Spaces (Created page with "{{ExampleCategory|def = Contractible Space}} Category:Contractible Spaces")
- 22:10, 28 March 2024 Prime.mover talk contribs created page Contractible Space/Examples (Created page with "== Examples of Contractible Spaces == <onlyinclude> === Real Euclidean Space === {{:Contractible Space/Examples/Real Euclidean Space}}</onlyinclude> Category:Examples of Contractible Spaces")
- 22:09, 28 March 2024 Prime.mover talk contribs created page Definition:Homotopy-Equivalence (Redirected page to Definition:Homotopy Equivalence) Tag: New redirect
- 22:08, 28 March 2024 Prime.mover talk contribs created page Definition:Homotopy Equivalence/Also known as (Created page with "== Homotopy Equivalence: Also known as == <onlyinclude> '''Homotopy equivalence''' can also be seen hyphenated: '''homotopy-equivalence'''. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Definition:Linear Homotopy|next = Definition:Homotopy Equivalence|entry = homotop...")
- 22:02, 28 March 2024 Prime.mover talk contribs created page Category:Contractible Spaces (Created page with "{{SubjectCategory|Contractible Space}} Category:Homotopy Theory")
- 22:02, 28 March 2024 Prime.mover talk contribs created page Category:Definitions/Contractible Spaces (Created page with "{{DefinitionCategory|def = Contractible Space|Homotopy Theory}}")
- 21:57, 28 March 2024 Prime.mover talk contribs created page Category:Homotopy Equivalences (Created page with "{{SubjectCategory|Homotopy Equivalence}} Category:Homotopy Theory")
- 21:57, 28 March 2024 Prime.mover talk contribs created page Category:Definitions/Homotopy Equivalences (Created page with "{{DefinitionCategory|def = Homotopy Equivalence|Homotopy Theory}}")
- 21:57, 28 March 2024 Prime.mover talk contribs created page Definition:Homotopy Equivalence (Created page with "== Definition == <onlyinclude> Let $X$ and $Y$ be topological spaces. Let $f: X \to Y$ be a continuous mapping. Let there exist a continuous mapping $g: Y \to X$ such that: :the composite mapping $g \circ f$ is homotopic to the identity mapping $I_X$ on $X...")
- 21:22, 28 March 2024 Prime.mover talk contribs created page Category:Linear Homotopies (Created page with "{{SubjectCategory|Linear Homotopy}} Category:Homotopy Theory")
- 21:21, 28 March 2024 Prime.mover talk contribs created page Category:Definitions/Linear Homotopies (Created page with "{{DefinitionCategory|def = Linear Homotopy|Homotopy Theory}}")
- 21:21, 28 March 2024 Prime.mover talk contribs created page Definition:Linear Homotopy (Created page with "== Definition == <onlyinclude> Let $X$ be a topological space. Let $Y$ be a subspace of the Euclidean space $\R^n$. Let $f: X \to Y$, $g: X \to Y$ be continuous mappings. For all $x \in X$, let the line segment in $\R^n$ from $\map f x$ to $\map g x$ be a subset of $Y$. Let $...")
- 18:00, 28 March 2024 Prime.mover talk contribs created page Category:Homoscedasticity (Created page with "{{SubjectCategory|Homoscedastic}} Category:Statistics")
- 18:00, 28 March 2024 Prime.mover talk contribs created page Category:Definitions/Homoscedasticity (Created page with "{{DefinitionCategory|def = Homoscedastic|Statistics}}")
- 17:57, 28 March 2024 Prime.mover talk contribs created page Definition:Homothetic (Redirected page to Definition:Central Dilatation Mapping) Tag: New redirect
- 17:56, 28 March 2024 Prime.mover talk contribs created page Central Dilatation Mapping/Examples/Homothetic Triangles (Created page with "== Examples of Central Dilatation Mappings == <onlyinclude> Two triangles are '''homothetic''' {{iff}} they have corresponding sides parallel and proportional in length. </onlyinclude> == Sources == * {{BookReference|The Penguin Dictionary of Mathematic...")
- 17:52, 28 March 2024 Prime.mover talk contribs created page Category:Examples of Central Dilatation Mappings (Created page with "{{ExampleCategory|def = Central Dilatation Mapping}} Category:Central Dilatation Mappings")
- 17:51, 28 March 2024 Prime.mover talk contribs created page Central Dilatation Mapping/Examples (Created page with "== Examples of Central Dilatation Mappings == <onlyinclude> === Homothetic Triangles === {{:Central Dilatation Mapping/Examples/Homothetic Triangles}}</onlyinclude> Category:Examples of Central Dilatation Mappings")
- 17:40, 28 March 2024 Prime.mover talk contribs created page Definition:Homoscedastic (Created page with "== Definition == <onlyinclude> Sets of data are '''homoscedastic''' {{iff}} they have the same variance. </onlyinclude> == Also see == {{Link-to-category|homoscedasticity}} == Sources == * {{BookReference|The Penguin Dictionary of Mathematics|1998|David Nelson|ed = 2nd|edpage = Second Edition|prev = Definition:G-Module Homomorphism|next = Definition:Central Dilatation Mapping...")
- 17:21, 28 March 2024 Prime.mover talk contribs created page Definition:Ring-Homomorphism (Redirected page to Definition:Ring Homomorphism) Tag: New redirect
- 15:56, 28 March 2024 Prime.mover talk contribs created page Definition:Ring Homomorphism/Also known as (Created page with "== Ring Homomorphism: Also known as == <onlyinclude> A '''ring homomorphism''' is also known as a '''(ring) representation'''. </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|General Topology|1955|John L. Kelley|prev = Definition:Subring|next = Definition:Left Ideal of Ring}}: Chapter $0$: Algebraic Concepts * {{BookReference|Introduction to Field Theo...")
- 15:55, 28 March 2024 Prime.mover talk contribs created page Definition:Ring Homomorphism/Also defined as (Created page with "== Ring Homomorphism: Also defined as == <onlyinclude> Sources dealing only with rings with unity may define a '''ring homomorphism''' as a '''unital ring homomorphism'''. </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|General Topology|1955|John L. Kelley|prev = Definition:Subring|next = Definition:Left Ideal of Rin...")
- 15:53, 28 March 2024 Prime.mover talk contribs created page Group Homomorphism/Examples/Square Function (Created page with "== Example of Group Homomorphism == <onlyinclude> Let $\struct {\R_{\ne 0}, \times}$ be the group formed from the non-zero real numbers under multiplication. Let $\struct {\R_{>0}, \times}$ be the group formed from the (strictly) positive real numbers under De...")
- 13:12, 28 March 2024 Prime.mover talk contribs created page Definition:Structure-Preserving Mapping (Redirected page to Definition:Group Homomorphism) Tag: New redirect
- 13:12, 28 March 2024 Prime.mover talk contribs created page Definition:Group Representation (Redirected page to Definition:Group Homomorphism) Tag: New redirect
- 10:54, 28 March 2024 Prime.mover talk contribs created page Definition:Group Homomorphism/Also defined as (Created page with "== Group Homomorphism: Also defined as == <onlyinclude> In their definitions of a '''group homomorphism''', some sources demand further that $\map \phi {e_G} = e_H$, where $e_G$ and $e_H$ are the identity elements of $G$ and $H$, respectively. However, this condition is superfluous, as shown on Group Homomorphism Preserves Identity. </onlyinclude> == Sources == {{S...")
- 10:52, 28 March 2024 Prime.mover talk contribs created page Definition:Group Homomorphism/Also known as (Created page with "== Group Homomorphism: Also known as == <onlyinclude> Some sources refer to a '''group homomorphism''' as a '''(group) representation'''. Some sources use the term '''structure-preserving'''. </onlyinclude> == Sources == {{SourceReview}} * {{BookReference|General Topology|1955|John L. Kelley|prev = Definition:Quotient Gr...")
- 10:05, 28 March 2024 Prime.mover talk contribs created page Category:G-Module Homomorphisms (Created page with "{{SubjectCategory|G-Module Homomorphism}} Category:Homomorphisms (Abstract Algebra) Category:Representation Theory")
- 10:04, 28 March 2024 Prime.mover talk contribs created page Category:Definitions/G-Module Homomorphisms (Created page with "{{DefinitionCategory|def = G-Module Homomorphism|Homomorphisms (Abstract Algebra)|Representation Theory}}")
- 10:02, 28 March 2024 Prime.mover talk contribs created page Definition:G-Equivariant Map (Redirected page to Definition:G-Module Homomorphism) Tag: New redirect
- 10:02, 28 March 2024 Prime.mover talk contribs created page Definition:G-Intertwining Map (Redirected page to Definition:G-Module Homomorphism) Tag: New redirect