Question

what is Sierpiński topology?

score 1.4k · Answer 1 · 2026-03-24 15:26:26

1.4k

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what is Sierpiński topology?

Published on 24 Mar 2026 - 15:26

score 325 · Answer 2 · 2026-03-19 21:38:52

325

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continuous surjective function from $n$-sphere to unit interval

Published on 19 Mar 2026 - 21:38

score 563 · Answer 3 · 2026-03-20 11:19:25

563

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Every nonempty perfect set in $\mathbb R^k$ is uncountable: Rudin's argument

Published on 20 Mar 2026 - 11:19

score 60 · Answer 4 · 2026-03-22 12:33:52

60

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Convex open sets of $\Bbb R^m$: are they MORE than connected by polygonal paths parallel to the axis?

Published on 22 Mar 2026 - 12:33

score 835 · Answer 5 · 2026-03-22 11:47:10

835

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Help in understanding proof of Heine-Borel Theorem from Simmons

Published on 22 Mar 2026 - 11:47

score 50 · Answer 6 · 2026-03-24 11:41:55

50

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$f$ - odd implies $d(f)$ - odd, question to the proof

Published on 24 Mar 2026 - 11:41

score 152 · Answer 7 · 2026-03-23 01:40:20

152

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Is the distance between those compact sets equal to $0$?

Published on 23 Mar 2026 - 1:40

score 821 · Answer 8 · 2026-03-20 07:55:44

821

Views

Help resolving this contradiction in descriptions of the fundamental groups of the figure eight and n-torus

Published on 20 Mar 2026 - 7:55

score 51 · Answer 9 · 2026-03-17 11:04:04

51

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Are compact groups acting on Polish spaces essentially Polish?

Published on 17 Mar 2026 - 11:04

score 108 · Answer 10 · 2018-01-14 23:53:37

108

Views

Show if the set is open in $\mathbb{R} ^2$ with the Euclidean topology.

Published on 14 Jan 2018 - 23:53

score 195 · Answer 11 · 2026-03-17 11:38:41

195

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Question about notation for Čech cohomology and direct image of sheaves in Hartshorne

Published on 17 Mar 2026 - 11:38

score 3.4k · Answer 12 · 2026-03-17 12:57:20

3.4k

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If a set is open, does it mean that every point is an interior point?

Published on 17 Mar 2026 - 12:57

score 64 · Answer 13 · 2026-03-24 14:49:06

64

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Does every connected topological space have the property that you can walk around a finite open cover to get from any point to any other?

Published on 24 Mar 2026 - 14:49

score 143 · Answer 14 · 2026-03-17 15:08:11

143

Views

Is $SL_{2} (\Bbb R)$ compact in $GL_{2} (\Bbb R)$

Published on 17 Mar 2026 - 15:08

score 47 · Answer 15 · 2026-03-24 18:42:45

47

Views

Help me to prove related path component and open ball

Published on 24 Mar 2026 - 18:42

List Question

what is Sierpiński topology?

continuous surjective function from $n$-sphere to unit interval

Every nonempty perfect set in $\mathbb R^k$ is uncountable: Rudin's argument

Convex open sets of $\Bbb R^m$: are they MORE than connected by polygonal paths parallel to the axis?

Help in understanding proof of Heine-Borel Theorem from Simmons

$f$ - odd implies $d(f)$ - odd, question to the proof

Is the distance between those compact sets equal to $0$?

Help resolving this contradiction in descriptions of the fundamental groups of the figure eight and n-torus

Are compact groups acting on Polish spaces essentially Polish?

Show if the set is open in $\mathbb{R} ^2$ with the Euclidean topology.

Question about notation for Čech cohomology and direct image of sheaves in Hartshorne

If a set is open, does it mean that every point is an interior point?

Does every connected topological space have the property that you can walk around a finite open cover to get from any point to any other?

Is $SL_{2} (\Bbb R)$ compact in $GL_{2} (\Bbb R)$

Help me to prove related path component and open ball

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