Question

Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

score 254 · Answer 1 · 2026-04-16 00:42:45

254

Views

Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

Published on 16 Apr 2026 - 0:42

score 427 · Answer 2 · 2026-04-15 21:55:17

427

Views

Stably trivial vector bundles over a torus

Published on 15 Apr 2026 - 21:55

score 28 · Answer 3 · 2026-04-17 02:44:50

28

Views

Prove that if $f_0 \sim f_1$ then $\ell_a f_0(1) = \ell_a f_1(1)$

Published on 17 Apr 2026 - 2:44

score 52 · Answer 4 · 2026-04-12 15:42:31

52

Views

Optimization of random geometry

Published on 12 Apr 2026 - 15:42

score 110 · Answer 5 · 2026-04-15 03:05:35

110

Views

Calculating the complement of a knot embedded in $S^3$ via Long Exact sequence of the pair $(S^3,K)$

Published on 15 Apr 2026 - 3:05

score 34 · Answer 6 · 2026-04-17 11:45:05

34

Views

Calculating $H_i(T^3,G)$ where $G= S^1 \times \{0,\frac{1}{2}\} \times \{0,\frac{1}{2}\}$

Published on 17 Apr 2026 - 11:45

score 66 · Answer 7 · 2026-04-09 02:55:48

66

Views

Equivalence of Lie groupoids $\phi: H \rightarrow G$ induces an equivalence of categories $\phi^*: G\text{-spaces} \rightarrow H\text{-spaces}$.

Published on 09 Apr 2026 - 2:55

score 545 · Answer 8 · 2026-04-10 14:35:29

545

Views

Proof of uniqueness of a push-out

Published on 10 Apr 2026 - 14:35

score 951 · Answer 9 · 2026-04-15 13:30:04

951

Views

Smash product of $S^1$ with the interval $I$

Published on 15 Apr 2026 - 13:30

score 153 · Answer 10 · 2026-04-14 14:32:56

153

Views

Theorem for the external product in K-theory and reduced version

Published on 14 Apr 2026 - 14:32

score 725 · Answer 11 · 2026-04-16 05:12:09

725

Views

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

Published on 16 Apr 2026 - 5:12

score 440 · Answer 12 · 2026-03-31 20:25:57

440

Views

What is Bordism good for?

Published on 31 Mar 2026 - 20:25

score 70 · Answer 13 · 2026-04-11 04:47:54

70

Views

The Relationship Between Topological Space and Fundamental Group

Published on 11 Apr 2026 - 4:47

score 374 · Answer 14 · 2026-04-14 07:17:14

374

Views

(algebraic topology) question about the cellular approximation theorem

Published on 14 Apr 2026 - 7:17

score 419 · Answer 15 · 2026-04-12 19:52:03

419

Views

Deck or Monodromy actions to define homology with local coefficients

Published on 12 Apr 2026 - 19:52

List Question

Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

Stably trivial vector bundles over a torus

Prove that if $f_0 \sim f_1$ then $\ell_a f_0(1) = \ell_a f_1(1)$

Optimization of random geometry

Calculating the complement of a knot embedded in $S^3$ via Long Exact sequence of the pair $(S^3,K)$

Calculating $H_i(T^3,G)$ where $G= S^1 \times \{0,\frac{1}{2}\} \times \{0,\frac{1}{2}\}$

Equivalence of Lie groupoids $\phi: H \rightarrow G$ induces an equivalence of categories $\phi^*: G\text{-spaces} \rightarrow H\text{-spaces}$.

Proof of uniqueness of a push-out

Smash product of $S^1$ with the interval $I$

Theorem for the external product in K-theory and reduced version

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

What is Bordism good for?

The Relationship Between Topological Space and Fundamental Group

(algebraic topology) question about the cellular approximation theorem

Deck or Monodromy actions to define homology with local coefficients

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