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Words: 2k
Articles: 63
Topology studies spaces and properties preserved by continuous deformation.
Table of contents
2k
63
Closed set
Topology
32
1
Limit point
Closed set
19
Closure
Topology
22
Topological space
Topology
99
3
Topology axiom
Topological space
40
Sierpinski space
Topological space
12
Open cover
Topological space
18
Quotient topology
Topology
197
4
Quotient map
Quotient topology
21
Universal property of the quotient topology
Quotient topology
46
Non-Hausdorff quotient of the real line by rational translation
Quotient topology
52
Square quotient model of the two-sphere
Quotient topology
41
Open set
Topology
164
9
Open interval
Open set
39
1
Nondegenerate interval
Open interval
21
Neighbourhood
Open set
16
Open ball
Open set
15
Open disc
Open set
47
2
Unit disc
Open disc
10
Disc
Open disc
25
Annulus
Open set
34
1
Fixed-point-free rotation of an annulus
Annulus
25
Level set
Topology
15
Dense subset
Topology
18
Discrete space
Topology
11
Connected-space zero-product dichotomy
Topology
33
Normal topological space
Topology
98
3
Urysohn lemma
Normal topological space
55
1
Tietze extension theorem
Urysohn lemma
34
Closed G-delta set as a zero set
Normal topological space
28
Compact space
Topology
202
6
Continuous image of a compact space
Compact space
29
Quotient of a compact space
Compact space
16
Lebesgue number lemma
Compact space
28
Normality of a compact Hausdorff space
Compact space
33
Locally compact space
Compact space
74
1
Compactly detected closed-set theorem in a locally compact Hausdorff space
Locally compact space
42
Hausdorff space
Topology
101
3
Compact subset of a Hausdorff space
Hausdorff space
38
Compact-to-Hausdorff continuous bijection theorem
Hausdorff space
38
Closed diagonal theorem
Hausdorff space
13
Homeomorphism
Topology
48
1
Closed map
Homeomorphism
27
Unit sphere
Topology
9
Closed graph theorem for compact spaces
Topology
69
1
Closed-graph criterion with compact codomain
Closed graph theorem for compact spaces
55
Topological surface
Topology
374
13
Surface quotient by a free finite action
Topological surface
28
Jordan curve theorem
Topological surface
33
Polygonal schema
Topological surface
89
2
Polygonal-schema Euler count
Polygonal schema
44
Regular hyperbolic octagon fundamental polygon
Polygonal schema
34
Torus
Topological surface
31
1
Fundamental group of the torus
Torus
12
Möbius band
Topological surface
33
Klein bottle
Topological surface
141
3
Orientation double cover of the Klein bottle
Klein bottle
80
1
Klein-bottle mapping-cylinder obstruction to simple connectivity
Orientation double cover of the Klein bottle
55
Flat Klein-bottle geodesic model
Klein bottle
36
Double cone singularity
Topological surface
19
Triangle KKM lemma
Topology
66
2
Distance-function barycentric map
Triangle KKM lemma
26
No-retraction covering principle
Triangle KKM lemma
20
Ancestors
(4)
Geometry and topology
Area of mathematics
Mathematics
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