Question

Does uniform continuity of bounded continuous functions implies the same for all continuous functions on a uniform space?

score 83 · Answer 1 · 2026-04-16 11:33:23

Does uniform continuity of bounded continuous functions implies the same for all continuous functions on a uniform space?

score 84 · Answer 2 · 2026-04-11 08:36:05

84

Views

Is it a local homeomorphism?

Published on 11 Apr 2026 - 8:36

score 981 · Answer 3 · 2026-04-16 13:59:59

981

Views

A topological space $X$ has the Intermediate Value Property iff it is Connected

Published on 16 Apr 2026 - 13:59

score 88 · Answer 4 · 2026-04-12 01:46:10

88

Views

Property of closed sets

Published on 12 Apr 2026 - 1:46

score 414 · Answer 5 · 2026-04-14 18:42:03

414

Views

Why $D=\sup\{\bar d(x_i,y_i)/i\}$ induce the product topology on $\mathbb R^{\mathbb N}$?

Published on 14 Apr 2026 - 18:42

score 782 · Answer 6 · 2026-04-13 23:51:34

782

Views

Showing that the supremum norm and the $L^1$ norm are not equivalent

Published on 13 Apr 2026 - 23:51

score 355 · Answer 7 · 2026-04-20 10:29:16

355

Views

notation for connected sum $\#^n S^2 \times S^2$

Published on 20 Apr 2026 - 10:29

score 173 · Answer 8 · 2026-04-11 00:47:13

173

Views

Topology of countably many seminorms on $C^{k}$

Published on 11 Apr 2026 - 0:47

score 125 · Answer 9 · 2026-04-14 10:13:14

125

Views

Continuous image of $(0, 1)$ equal to half-closed interval

Published on 14 Apr 2026 - 10:13

score 548 · Answer 10 · 2026-04-12 17:53:11

548

Views

Is the induced homomorphism $i_*: \pi_1(A,a) \to \pi_1(X,a)$ the inclusion map if $i: A \to X$ is the inclusion?

Published on 12 Apr 2026 - 17:53

score 83 · Answer 11 · 2026-04-13 03:00:26

83

Views

A closed embedding, mapping cylinder

Published on 13 Apr 2026 - 3:00

score 434 · Answer 12 · 2026-04-16 09:26:29

434

Views

$S=\{e^{inx}\mid n\in \mathbb Z\}$ where $x\notin \pi\mathbb Q$ is dense in $S^1$

Published on 16 Apr 2026 - 9:26

score 590 · Answer 13 · 2026-04-10 21:17:58

590

Views

What is and how to find a limiting point?

Published on 10 Apr 2026 - 21:17

score 114 · Answer 14 · 2026-04-14 07:59:52

114

Views

Finding the Fundamental Group of a generic space X

Published on 14 Apr 2026 - 7:59

score 225 · Answer 15 · 2026-04-16 09:17:13

225

Views

Justifying casual claims in algebraic topology

Published on 16 Apr 2026 - 9:17

List Question

Does uniform continuity of bounded continuous functions implies the same for all continuous functions on a uniform space?

Is it a local homeomorphism?

A topological space $X$ has the Intermediate Value Property iff it is Connected

Property of closed sets

Why $D=\sup\{\bar d(x_i,y_i)/i\}$ induce the product topology on $\mathbb R^{\mathbb N}$?

Showing that the supremum norm and the $L^1$ norm are not equivalent

notation for connected sum $\#^n S^2 \times S^2$

Topology of countably many seminorms on $C^{k}$

Continuous image of $(0, 1)$ equal to half-closed interval

Is the induced homomorphism $i_*: \pi_1(A,a) \to \pi_1(X,a)$ the inclusion map if $i: A \to X$ is the inclusion?

A closed embedding, mapping cylinder

$S=\{e^{inx}\mid n\in \mathbb Z\}$ where $x\notin \pi\mathbb Q$ is dense in $S^1$

What is and how to find a limiting point?

Finding the Fundamental Group of a generic space X

Justifying casual claims in algebraic topology

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