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 61 subcategories, out of 61 total.
A
B
C
D
E
F
G
H
I
K
L
M
N
O
P
Q
R
S
T
U
Pages in category "Definitions/Topology"
The following 200 pages are in this category, out of 294 total.
(previous page) (next page)A
B
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:Closed Set Axioms
- Definition:Closure (Topology)
- Definition:Coarser Topology
- Definition:Coarser Topology/Strictly Coarser
- Definition:Cobordism
- Definition:Cobordism/Historical Note
- Definition:Cobordism/Homotopy
- Definition:Cobordism/Oriented
- Definition:Codimension
- 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)
- Definition:Crossing (Jordan Curve)
- Definition:Crossing (Jordan Curve)/Parity
D
- Definition:Decomposable Set
- Definition:Decomposition (Topology)
- Definition:Deleted Neighborhood
- 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
- Definition:Embedding (Topology)
- Definition:Endpoint of Path
- Definition:Equidecomposable
- Definition:Equivalent Topological Bases
- Definition:Evenly Covered
- Definition:Everywhere Dense
- Definition:Everywhere Dense/Definition 1
- Definition:Everywhere Dense/Definition 2
- Definition:Everywhere Dense/Real Numbers
- Definition:Expansion (Topology)
- Definition:Exterior (Topology)
- Definition:Exterior of Jordan Curve
F
- Definition:F-Sigma Set
- Definition:Factor Space
- Definition:Fiber Bundle
- Definition:Filter Theory
- Definition:Final Point of Path
- Definition:Final Topology
- Definition:Final Topology/Definition 1
- Definition:Final Topology/Definition 2
- Definition:Finer Topology
- Definition:Finer Topology/Definition 1
- Definition:Finer Topology/Definition 2
- Definition:Finer Topology/Strictly Finer
- Definition:Fréchet Space
G
H
I
- Definition:Identification Mapping
- Definition:Identification Topology
- Definition:Identification Topology/Identification Mapping
- Definition:Image of Topological Space
- Definition:Induced Topology
- Definition:Initial Point of Path
- Definition:Initial Topology
- Definition:Initial Topology/Definition 1
- Definition:Initial Topology/Definition 2
- Definition:Injective Space
- Definition:Inner Limit
- Definition:Interior (Topology)
- Definition:Interior of Jordan Curve
- 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 (Topology)
- Definition:Isolated Point
- Definition:Isolated Point (Topology)
J
K
L
- Definition:Lie Group
- Definition:Limit Point
- Definition:Limit Point/Topology
- Definition:Limit Point/Topology/Point
- Definition:Limit Point/Topology/Sequence
- Definition:Limit Point/Topology/Set
- Definition:Local Basis
- Definition:Local Basis/Local Basis for Open Sets
- Definition:Local Basis/Neighborhood Basis of Open Sets
- 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:Lower Limit (Topological Space)
M
N
- Definition:Neighborhood (Topology)
- Definition:Neighborhood of Infinity (Topology)
- Definition:Neighborhood Space
- Definition:Neighborhood System
- Definition:Noetherian Topological Space
- Definition:Non-Meager Space
- User:NOrbeck/Definition:Isotopy
- Definition:Nowhere Dense
- Definition:Nowhere Dense/Definition 1
- Definition:Nowhere Dense/Definition 2
- Definition:Null Set
O
P
- Definition:Painlevé-Kuratowski Convergence
- Definition:Particular Point
- Definition:Partition of Unity (Topology)
- Definition:Partition of Unity (Topology)/Subordinate
- Definition:Path (Topology)
- Definition:Perfect Set
- Definition:Point Finite
- Definition:Pointed Topological Space
- Definition:Polish Space
- Definition:Product Space (Topology)
- Definition:Product Space (Topology)/Factor Space
- Definition:Product Space (Topology)/General Definition
- Definition:Product Space of Topological Spaces
- Definition:Product Topology
- Definition:Projection (Mapping Theory)
- Definition:Projective Space
- Definition:Projective Space/Real Projective Space
- Definition:Proper Group Action
