Question

Clarification on finite intersection

score 34 · Answer 1 · 2018-03-20 13:33:23

34

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Clarification on finite intersection

Published on 20 Mar 2018 - 13:33

score 167 · Answer 2 · 2026-03-30 12:23:39

167

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Which topologies are same as the Euclidean Metric Topology in $R^n$?

Published on 30 Mar 2026 - 12:23

score 93 · Answer 3 · 2018-03-20 15:18:38

Let $F$ be a non-empty countable subset of $\mathbb{R}$. $F$ may or may not be closed in usual topology depending on the choice of $F$

score 188 · Answer 4 · 2018-03-20 15:46:25

188

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$A_\epsilon=[0,1]\bigcap\bigcup_{j=1}^\infty N_{1/2^j}(q_j)$. Show that $\partial A_\epsilon =[0,1]\setminus A_\epsilon$.

Published on 20 Mar 2018 - 15:46

score 206 · Answer 5 · 2026-03-25 07:43:26

206

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Direct image of a constant sheaf over a closed set

Published on 25 Mar 2026 - 7:43

score 42 · Answer 6 · 2018-03-20 16:39:30

42

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Quotient topologies of a closed interval from a closed interval

Published on 20 Mar 2018 - 16:39

score 980 · Answer 7 · 2026-03-27 15:19:05

980

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Proof of compactness of subset S of a compact set K contained in an open set.

Published on 27 Mar 2026 - 15:19

score 2.8k · Answer 8 · 2026-03-29 12:40:34

2.8k

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A closed ball in a metric space is closed

Published on 29 Mar 2026 - 12:40

score 1.9k · Answer 9 · 2026-03-25 16:13:41

1.9k

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Definition of Suspension (Topology).

Published on 25 Mar 2026 - 16:13

score 141 · Answer 10 · 2018-03-21 00:46:53

141

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Prove an equivalent definition of $\sup\{T>0:x\in\overline{\mathbb R^n\setminus D_t },t \in [0,T) \},D_t\subset\mathbb R^n,x\in\partial D_0$

Published on 21 Mar 2018 - 0:46

score 517 · Answer 11 · 2026-03-25 01:37:05

517

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Showing a figure eight is not regularly homotopic to the circle.

Published on 25 Mar 2026 - 1:37

score 328 · Answer 12 · 2026-03-23 03:32:47

328

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Homeomorphism of union of infinitely many topological spaces

Published on 23 Mar 2026 - 3:32

score 889 · Answer 13 · 2026-03-25 11:42:56

889

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Book Recommendations: Combinatorial Group Theory and Topological Prerequisites.

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score 114 · Answer 14 · 2026-03-25 09:07:03

114

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Is space is not normal?

Published on 25 Mar 2026 - 9:07

score 35 · Answer 15 · 2026-03-30 12:27:12

35

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A question regarding connected subsets of connected metric spaces

Published on 30 Mar 2026 - 12:27

List Question

Clarification on finite intersection

Which topologies are same as the Euclidean Metric Topology in $R^n$?

Let $F$ be a non-empty countable subset of $\mathbb{R}$. $F$ may or may not be closed in usual topology depending on the choice of $F$

$A_\epsilon=[0,1]\bigcap\bigcup_{j=1}^\infty N_{1/2^j}(q_j)$. Show that $\partial A_\epsilon =[0,1]\setminus A_\epsilon$.

Direct image of a constant sheaf over a closed set

Quotient topologies of a closed interval from a closed interval

Proof of compactness of subset S of a compact set K contained in an open set.

A closed ball in a metric space is closed

Definition of Suspension (Topology).

Prove an equivalent definition of $\sup\{T>0:x\in\overline{\mathbb R^n\setminus D_t },t \in [0,T) \},D_t\subset\mathbb R^n,x\in\partial D_0$

Showing a figure eight is not regularly homotopic to the circle.

Homeomorphism of union of infinitely many topological spaces

Book Recommendations: Combinatorial Group Theory and Topological Prerequisites.

Is space is not normal?

A question regarding connected subsets of connected metric spaces

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