Question

When is a bornology on a uniformizable space induced by a uniformity?

score 138 · Answer 1 · 2026-04-09 02:44:59

138

Views

When is a bornology on a uniformizable space induced by a uniformity?

Published on 09 Apr 2026 - 2:44

score 132 · Answer 2 · 2026-04-08 20:24:02

132

Views

What topological spaces satisfy a property involving relatively compact sets?

Published on 08 Apr 2026 - 20:24

score 223 · Answer 3 · 2026-04-12 08:53:40

223

Views

Can a regular hexagon be wrapped up in four dimensional space without distortion?

Published on 12 Apr 2026 - 8:53

score 138 · Answer 4 · 2026-04-12 08:46:10

138

Views

Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

Published on 12 Apr 2026 - 8:46

score 170 · Answer 5 · 2026-04-15 20:04:39

170

Views

Choose the correct option.

Published on 15 Apr 2026 - 20:04

score 126 · Answer 6 · 2026-04-13 08:02:34

126

Views

Transversal intersection of the hypersurfaces with the sphere

Published on 13 Apr 2026 - 8:02

score 73 · Answer 7 · 2026-04-14 08:51:01

73

Views

Are the fixed point sets homeomorphic?

Published on 14 Apr 2026 - 8:51

score 609 · Answer 8 · 2026-04-16 07:24:49

609

Views

A set is compact in complement topology iff closed in standard topology

Published on 16 Apr 2026 - 7:24

score 686 · Answer 9 · 2026-04-14 18:04:09

686

Views

If $f: \mathbb{R} \to \mathbb{R}$ is a continuous surjection, must it be open?

Published on 14 Apr 2026 - 18:04

score 27 · Answer 10 · 2026-04-16 12:14:35

($\cal{T}$ be the collection of open subsets, $\cal{K}$ the collection of closed subsets). There is a bijection from $\cal{T}$ to $\cal{K}$

score 94 · Answer 11 · 2026-04-14 22:31:42

94

Views

If induced homomorphism of homologies of complex projective space is non zero then the map is surjective

Published on 14 Apr 2026 - 22:31

score 209 · Answer 12 · 2026-04-12 22:30:53

209

Views

Prove that $S^2 \vee S^2$ is path connected?

Published on 12 Apr 2026 - 22:30

score 68 · Answer 13 · 2026-04-16 19:44:36

68

Views

$\bigcup U_{i}$ and $\bigcup V_{j}$ are homeomorphic iff there are equally many $U_{i}$ and $V_{j}$ where $U_{i},V_{i}$ are open.

Published on 16 Apr 2026 - 19:44

score 171 · Answer 14 · 2026-04-14 23:32:28

171

Views

The boundary of $r$-neighborhood of $p$ is not equal to sphere of radius $r$ at $p$

Published on 14 Apr 2026 - 23:32

score 318 · Answer 15 · 2026-05-03 21:39:57

318

Views

About locally path-connected spaces

Published on 03 May 2026 - 21:39

List Question

When is a bornology on a uniformizable space induced by a uniformity?

What topological spaces satisfy a property involving relatively compact sets?

Can a regular hexagon be wrapped up in four dimensional space without distortion?

Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

Choose the correct option.

Transversal intersection of the hypersurfaces with the sphere

Are the fixed point sets homeomorphic?

A set is compact in complement topology iff closed in standard topology

If $f: \mathbb{R} \to \mathbb{R}$ is a continuous surjection, must it be open?

($\cal{T}$ be the collection of open subsets, $\cal{K}$ the collection of closed subsets). There is a bijection from $\cal{T}$ to $\cal{K}$

If induced homomorphism of homologies of complex projective space is non zero then the map is surjective

Prove that $S^2 \vee S^2$ is path connected?

$\bigcup U_{i}$ and $\bigcup V_{j}$ are homeomorphic iff there are equally many $U_{i}$ and $V_{j}$ where $U_{i},V_{i}$ are open.

The boundary of $r$-neighborhood of $p$ is not equal to sphere of radius $r$ at $p$

About locally path-connected spaces

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