Question

Boundary of $\mathbb{R}^4$ and fundamental group of $\mathbb{R}^4/\mathbb{R}^2$

score 143 · Answer 1 · 2026-04-10 07:37:02

143

Views

Boundary of $\mathbb{R}^4$ and fundamental group of $\mathbb{R}^4/\mathbb{R}^2$

Published on 10 Apr 2026 - 7:37

score 273 · Answer 2 · 2026-03-25 17:17:17

273

Views

The unit square has dimension two?

Published on 25 Mar 2026 - 17:17

score 592 · Answer 3 · 2026-04-14 00:52:21

592

Views

How can "homotopy lifting theorem" be applied to prove this theorem?

Published on 14 Apr 2026 - 0:52

score 215 · Answer 4 · 2026-04-15 10:02:49

215

Views

Are there any disadvantages to working in the category of k-spaces as opposed to Top?

Published on 15 Apr 2026 - 10:02

score 1.5k · Answer 5 · 2026-04-14 12:34:38

1.5k

Views

Why does a covering map has the injective induced homomorphism?

Published on 14 Apr 2026 - 12:34

score 610 · Answer 6 · 2026-04-10 16:39:12

610

Views

Group with topology which is not topological group

Published on 10 Apr 2026 - 16:39

score 797 · Answer 7 · 2026-04-12 11:30:31

797

Views

path connected subspace $A$ of $X$, $ i:A\to X$ inclusion. Why is the induced map of $i$ on homology injective?

Published on 12 Apr 2026 - 11:30

score 2.2k · Answer 8 · 2026-04-11 09:27:11

2.2k

Views

Acyclic chain complex and contracting chain homotopy

Published on 11 Apr 2026 - 9:27

score 2.3k · Answer 9 · 2026-04-16 22:03:48

2.3k

Views

Euler characteristic, genus and cohomology: a deep connection?

Published on 16 Apr 2026 - 22:03

score 349 · Answer 10 · 2026-04-09 14:52:40

349

Views

Why use the Lefschetz Zeta function?

Published on 09 Apr 2026 - 14:52

score 62 · Answer 11 · 2026-04-15 17:54:44

62

Views

Positive definite functions defined on the embedding of a planar graph in the plane

Published on 15 Apr 2026 - 17:54

score 293 · Answer 12 · 2026-04-12 13:51:04

293

Views

How do I show that $\mathbb{R}^n$ is simply-connected?

Published on 12 Apr 2026 - 13:51

score 52 · Answer 13 · 2026-04-14 19:38:13

52

Views

Is the range of a covering map normal subgroup of codamin?

Published on 14 Apr 2026 - 19:38

score 142 · Answer 14 · 2026-04-16 00:02:15

142

Views

How do I conclude that $|\pi_1(X,x_0):p_*(\pi_1(C,c_0))|$ is the number of sheets of $p$?

Published on 16 Apr 2026 - 0:02

score 561 · Answer 15 · 2026-04-16 20:08:52

561

Views

$t$-adic topology (on $\mathbb F_p(1/t)$)

Published on 16 Apr 2026 - 20:08

List Question

Boundary of $\mathbb{R}^4$ and fundamental group of $\mathbb{R}^4/\mathbb{R}^2$

The unit square has dimension two?

How can "homotopy lifting theorem" be applied to prove this theorem?

Are there any disadvantages to working in the category of k-spaces as opposed to Top?

Why does a covering map has the injective induced homomorphism?

Group with topology which is not topological group

path connected subspace $A$ of $X$, $ i:A\to X$ inclusion. Why is the induced map of $i$ on homology injective?

Acyclic chain complex and contracting chain homotopy

Euler characteristic, genus and cohomology: a deep connection?

Why use the Lefschetz Zeta function?

Positive definite functions defined on the embedding of a planar graph in the plane

How do I show that $\mathbb{R}^n$ is simply-connected?

Is the range of a covering map normal subgroup of codamin?

How do I conclude that $|\pi_1(X,x_0):p_*(\pi_1(C,c_0))|$ is the number of sheets of $p$?

$t$-adic topology (on $\mathbb F_p(1/t)$)

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