Question

Probs. 3 (a & c), Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The space $\mathbb{R}_K$ is not path connected and $[0, 1]$ is not compact in $\mathbb{R}_K$.

score 408 · Answer 1 · 2026-03-26 08:00:39

408

Views

Probs. 3 (a & c), Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The space $\mathbb{R}_K$ is not path connected and $[0, 1]$ is not compact in $\mathbb{R}_K$.

Published on 26 Mar 2026 - 8:00

score 38 · Answer 2 · 2026-03-25 14:22:39

38

Views

How is a $k$-form integrated over an oriented smooth $n$-manifold in the case it is connected?

Published on 25 Mar 2026 - 14:22

score 908 · Answer 3 · 2026-03-26 04:53:36

908

Views

Prob. 6, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The Cantor's set is totally disconnected, compact, and uncountable

Published on 26 Mar 2026 - 4:53

score 375 · Answer 4 · 2019-06-13 08:45:40

375

Views

Why is the deleted comb space still connected?

Published on 13 Jun 2019 - 8:45

score 75 · Answer 5 · 2019-06-13 21:37:04

75

Views

$B=\{x \in A: d(x,\partial A)\geq \varepsilon\}$ is connected

Published on 13 Jun 2019 - 21:37

score 279 · Answer 6 · 2019-06-14 19:10:15

279

Views

Connected and path-connected sets

Published on 14 Jun 2019 - 19:10

score 309 · Answer 7 · 2026-03-26 16:05:13

309

Views

Is $\overline{B_1((1,0))}\cup B_1((-1,0))$ connected? Is it path connected?

Published on 26 Mar 2026 - 16:05

score 181 · Answer 8 · 2019-06-16 19:09:45

181

Views

Cardinality of the family of all possible connected subsets of $\Bbb R^n$

Published on 16 Jun 2019 - 19:09

score 1.2k · Answer 9 · 2019-06-16 19:54:48

1.2k

Views

Definition of disconnected set in topology

Published on 16 Jun 2019 - 19:54

score 32 · Answer 10 · 2026-03-26 17:29:52

32

Views

Proof space is Connected Space

Published on 26 Mar 2026 - 17:29

score 179 · Answer 11 · 2026-03-25 09:29:20

179

Views

Place bounds on the chromatic number of G given its maximum number of components

Published on 25 Mar 2026 - 9:29

score 93 · Answer 12 · 2019-06-18 23:02:31

93

Views

$n$-connected region, confusion with definition

Published on 18 Jun 2019 - 23:02

score 548 · Answer 13 · 2026-03-25 11:10:22

548

Views

Bridgeless cubic graph has a 1-factor not containing two arbitrarily prescribed lines

Published on 25 Mar 2026 - 11:10

score 936 · Answer 14 · 2019-06-19 12:13:17

936

Views

A set which is the closure of its interior points

Published on 19 Jun 2019 - 12:13

score 168 · Answer 15 · 2019-06-20 21:05:07

168

Views

Topological spaces and Path-connected space

Published on 20 Jun 2019 - 21:05

List Question

Probs. 3 (a & c), Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The space $\mathbb{R}_K$ is not path connected and $[0, 1]$ is not compact in $\mathbb{R}_K$.

How is a $k$-form integrated over an oriented smooth $n$-manifold in the case it is connected?

Prob. 6, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The Cantor's set is totally disconnected, compact, and uncountable

Why is the deleted comb space still connected?

$B=\{x \in A: d(x,\partial A)\geq \varepsilon\}$ is connected

Connected and path-connected sets

Is $\overline{B_1((1,0))}\cup B_1((-1,0))$ connected? Is it path connected?

Cardinality of the family of all possible connected subsets of $\Bbb R^n$

Definition of disconnected set in topology

Proof space is Connected Space

Place bounds on the chromatic number of G given its maximum number of components

$n$-connected region, confusion with definition

Bridgeless cubic graph has a 1-factor not containing two arbitrarily prescribed lines

A set which is the closure of its interior points

Topological spaces and Path-connected space

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