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A community database of topological counterexamples
https://topology.pi-base.org/
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Fix typo in T261
#966
danflapjax
opened
13 minutes ago
0
Introduce property 'Has a closed point' (P205)
#965
GeoffreySangston
opened
3 hours ago
1
R_0 countable spaces are G_delta
#964
Almanzoris
closed
17 minutes ago
0
T_2 Paracompact spaces verifying the CCC are Lindelöf
#963
Almanzoris
opened
6 hours ago
1
The circle has no cut point
#962
david20000813
closed
4 hours ago
1
Non-discrete LCH groups are not Rothberger
#961
david20000813
opened
8 hours ago
0
Deleted sequence of intervals topology
#960
david20000813
opened
10 hours ago
0
Symmetrizable property and theorems
#959
david20000813
opened
15 hours ago
9
Adding two traits for S144
#958
david20000813
opened
16 hours ago
0
Adding two traits for S188
#957
david20000813
opened
17 hours ago
0
Space (Alias) Suggestion: More aliases for Hilbert space $\ell^2$ (S30)
#956
GeoffreySangston
opened
17 hours ago
0
S11 is P10
#955
david20000813
closed
17 hours ago
0
Added two theorems about Čech-complete spaces
#954
david20000813
opened
17 hours ago
7
Nested interval topology S44 is quasi-sober P192
#952
StevenClontz
closed
16 hours ago
0
Helly space (S105) is contractible (P199)
#951
GeoffreySangston
closed
17 hours ago
4
T622: Ultraconnected compact spaces have a focal point
#950
prabau
closed
1 day ago
3
Clarifying the definition of S118 and adding the trait that it has a cut point
#949
david20000813
closed
1 day ago
14
S100: David Gao's ultraconnected non-contractible space
#948
prabau
closed
1 day ago
15
S46 is contractible
#947
david20000813
closed
1 day ago
0
S200 is meager
#946
david20000813
closed
2 days ago
1
S46 does not have P201
#945
david20000813
closed
2 days ago
5
S21 is not a k-space
#944
david20000813
opened
2 days ago
3
Alexandroff square isn't homogeneous.
#943
Almanzoris
closed
1 day ago
1
Homogeneous spaces with a cut point are T_1.
#942
Almanzoris
opened
3 days ago
7
Hereditarily connected spaces don't have cut points.
#941
Almanzoris
closed
3 days ago
2
Property Suggestion: Has a closed point
#940
GeoffreySangston
opened
4 days ago
5
Property Suggestion: Has a non-cut point (or Cut point space)
#939
GeoffreySangston
opened
4 days ago
9
T617: Spaces with a generic point are Baire
#938
prabau
closed
4 days ago
0
Fix rendering problem for Eberlein compact (P91)
#937
GeoffreySangston
closed
5 days ago
1
Introduce Has a cut point (P204)
#936
GeoffreySangston
closed
4 days ago
20
Two non-sober hereditarily connected spaces
#935
prabau
closed
3 days ago
4
S44 Nested interval topology P201 Has a generic point
#934
danflapjax
closed
16 hours ago
4
Trait Suggestion: Completing P201 and P202
#933
david20000813
opened
6 days ago
24
Add: Hereditarily connected + not empty => contractible
#932
prabau
closed
6 days ago
0
Trait Suggestion: The butterfly space (S143) is not simply connected (P200)
#931
david20000813
closed
6 days ago
2
Theorem Suggestion: Čech-complete spaces are $k_3$
#930
david20000813
opened
1 week ago
0
Theorem Suggestion: Čech-complete spaces are Baire
#929
david20000813
opened
1 week ago
0
Trait Suggestion: Weak topology on separable Hilbert space (S21) is not a $k_1$-space (P140)
#928
david20000813
opened
1 week ago
2
Property Suggestion: Monotonically normal
#927
david20000813
opened
1 week ago
1
Space Suggestion: Deleted Sequence of Intervals Topology
#926
david20000813
opened
1 week ago
6
Theorem Suggestion: All nonempty hereditarily connected spaces are contractible
#925
david20000813
opened
1 week ago
17
add P202 aliases
#924
StevenClontz
closed
6 days ago
2
add semimetrizable theorems
#923
StevenClontz
closed
18 hours ago
13
Almost discrete part 1
#922
danflapjax
closed
1 week ago
0
The divisor topology (S49) is contractible (P199)
#921
GeoffreySangston
closed
1 week ago
7
Add alias "Has a specialized point" for "Has a point with a unique neighborhood"?
#920
StevenClontz
closed
6 days ago
14
Prime ideal topology (S48) revising description
#919
GeoffreySangston
opened
1 week ago
17
Overlapping interval topology (S45) Has a generic point (P201)
#918
GeoffreySangston
closed
1 week ago
1
Lines with infinitely many origins are not simply connected
#917
GeoffreySangston
closed
6 days ago
2
Theorem Suggestion: Ordinal spaces are not Dowker
#916
eT3q
opened
1 week ago
1
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