Category:Definitions/Topology
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This category contains definitions related to Topology.
Related results can be found in Category:Topology.
Topology is a geometry of transformations in which the only invariant is continuity.
Some sources suggest that it can indeed be described simply as the study of continuity.
As such, it is closely interwoven with the branch of analysis.
Subcategories
This category has the following 80 subcategories, out of 80 total.
A
- Definitions/Adherent Points (4 P)
B
- Definitions/Baire Category (6 P)
- Definitions/Baire Spaces (5 P)
C
- Definitions/Closed Balls (1 P)
- Definitions/Closed Sets (9 P)
- Definitions/Cobordisms (4 P)
- Definitions/Complex Manifolds (empty)
- Definitions/Covering Spaces (1 P)
- Definitions/Covers (31 P)
D
- Definitions/Dimension Theory (1 P)
E
F
- Definitions/Fiber Bundles (7 P)
G
H
- Definitions/Homeomorphisms (9 P)
- Definitions/Homotopy Theory (24 P)
I
- Definitions/Irreducible Spaces (13 P)
- Definitions/Isolated Points (8 P)
J
- Definitions/Jordan Curves (7 P)
K
- Definitions/Knot Theory (11 P)
L
- Definitions/Lie Groups (4 P)
- Definitions/Local Bases (3 P)
M
N
- Definitions/Neighborhoods (53 P)
- Definitions/Normed Spaces (3 P)
O
- Definitions/Oscillation (12 P)
P
- Definitions/Perfect Sets (4 P)
- Definitions/Projections (8 P)
Q
R
- Definitions/Riemann Surfaces (13 P)
S
- Definitions/Schemes (21 P)
- Definitions/Separable Spaces (3 P)
- Definitions/Set Boundaries (5 P)
- Definitions/Set Closures (12 P)
- Definitions/Set Exteriors (4 P)
- Definitions/Set Interiors (5 P)
- Definitions/Sheaf Theory (34 P)
- Definitions/Submanifolds (2 P)
T
- Definitions/Tangent Bundles (2 P)
- Definitions/Topological Bases (12 P)
- Definitions/Torus (Topology) (2 P)
U
Pages in category "Definitions/Topology"
The following 200 pages are in this category, out of 261 total.
(previous page) (next page)A
B
- Definition:Baire Category
- Definition:Baire Space (Topology)
- Definition:Base Point of Loop
- Definition:Basic Open Set
- Definition:Basis (Topology)
- Definition:Borel Set
- Definition:Borel Sigma-Algebra
- Definition:Borel Sigma-Algebra/Borel Set
- Definition:Borel Sigma-Algebra/Topological Space
- Definition:Boundary (Topology)
C
- Definition:Cantor-Bendixson Derivative
- Definition:Cantor-Bendixson Rank
- Definition:Category of Open Sets
- Definition:Character of Point in Topological Space
- Definition:Character of Topological Space
- Definition:Clopen (Topology)
- Definition:Clopen Set
- Definition:Closed Invariant
- Definition:Closed Mapping
- Definition:Closed Point
- Definition:Closed Set
- Definition:Closed Set (Topology)
- Definition:Closure (Topology)
- Definition:Coarser Topology
- Definition:Coarser Topology/Strictly Coarser
- Definition:Cobordism
- Definition:Codimension
- Definition:Cohomology Theory
- Definition:Compact Space/Topology
- Definition:Compactification
- Definition:Comparable Topologies
- Definition:Completely Metrizable Topology
- Definition:Concatenation (Topology)
- Definition:Condensation Point
- Definition:Connected Component (Topology)
- Definition:Connected Space
- Definition:Connected Sum
- Definition:Continuous Group Action
- Definition:Continuous Invariant
- Definition:Convergent Filter
- Definition:Convergent Filter Basis
- Definition:Convergent Sequence/Topology
- Definition:Convergent Sequence/Topology/Definition 1
- Definition:Convergent Sequence/Topology/Definition 2
- Definition:Countability Axioms
- Definition:Countable Basis
- Definition:Critical Point (Topology)
D
- Definition:Decomposable Set
- Definition:Decomposition (Topology)
- Definition:Dense
- Definition:Dense-in-itself
- Definition:Density of Topological Space
- Definition:Derived Set
- User:Dfeuer/Topological Field
- Definition:Dimension (Topology)
- Definition:Dimension (Topology)/Locally Euclidean Space
- Definition:Dimension Theory
E
F
G
H
I
- Definition:Identification Mapping
- Definition:Identification Topology/Identification Mapping
- Definition:Image of Topological Space
- Definition:Induced Topology
- Definition:Injective Space
- Definition:Inner Limit
- Definition:Interior (Topology)
- Definition:Interior Point (Topology)
- Definition:Interior Point (Topology)/Definition 1
- Definition:Interior Point (Topology)/Definition 2
- Definition:Interior Point (Topology)/Definition 3
- Definition:Irreducible Space
- Definition:Irreducible Subset
- Definition:Irreducible Subset (Topology)
- Definition:Isolated Point
- Definition:Isolated Point (Topology)
K
L
- Definition:Lie Group
- Definition:Limit of Sequence/Topological Space
- Definition:Limit of Topological Spaces
- Definition:Limit Point
- Definition:Limit Point/Topology
- Definition:Limit Point/Topology/Point
- Definition:Limit Point/Topology/Set
- Definition:Limit Topology
- Definition:Local Basis
- Definition:Local Coordinates
- Definition:Local Dimension of Topological Space
- Definition:Local Sub-Basis
- Definition:Local Trivialization
- Definition:Locally Compact Hausdorff Space
- Definition:Locally Compact Space
- Definition:Loop (Topology)
- Definition:Loop (Topology)/Base Point
- Definition:Loop (Topology)/Simple
- Definition:Lower Limit (Topological Space)
M
N
- Definition:Neighborhood (Topology)
- Definition:Neighborhood of Infinity (Topology)
- Definition:Neighborhood Space
- Definition:Neighborhood System
- Definition:Noetherian Topological Space
- User:NOrbeck/Definition:Isotopy
- Definition:Normal Bundle
- Definition:Normal Space/Manifold
- Definition:Nowhere Dense
- Definition:Null Set
O
P
- Definition:Particular Point
- Definition:Partition of Unity (Topology)
- Definition:Partition of Unity (Topology)/Subordinate
- Definition:Path (Topology)
- Definition:Perfect Set
- Definition:Point Finite
- Definition:Point of Set
- Definition:Pointed Topological Space
- Definition:Polish Space
- Definition:Projection (Mapping Theory)
- Definition:Projective Space
- Definition:Projective Space/Real Projective Space
- Definition:Proper Group Action
- Definition:Proper Mapping
- Definition:Pseudometric
- Definition:Pseudometric/Pseudometric Space
- Definition:Pseudometrizable
- Definition:Pseudometrizable Topology
- Definition:Punctured Neighborhood
R
S
- Definition:Section (Topology)
- Definition:Separated Points
- Definition:Separated Sets
- Definition:Separated Sets/Definition 1
- Definition:Separated Sets/Definition 2
- Definition:Separated Topological Space
- Definition:Sequential Continuity
- Definition:Sequential Continuity at Point
- Definition:Sequential Continuity on Domain
- Definition:Set Derivative
- Definition:Set of Condensation Points
- Definition:Simple Loop (Topology)
- Definition:Simply Connected
- Definition:Smooth Real Function
- Definition:Sober Space