Question

Computing the homology groups of two tori attached in a certain way.

score 847 · Answer 1 · 2026-03-30 11:03:32

847

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Computing the homology groups of two tori attached in a certain way.

Published on 30 Mar 2026 - 11:03

score 159 · Answer 2 · 2026-03-30 11:04:51

159

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Homology of quotient space of $S^2$ under the identifications $x \sim -x$ for $X$ in the equator $S^1$.

Published on 30 Mar 2026 - 11:04

score 256 · Answer 3 · 2026-03-30 11:04:50

256

Views

Motivation for local cohomology and local homotopy theories in Algebraic topology.

Published on 30 Mar 2026 - 11:04

score 1.5k · Answer 4 · 2026-03-25 01:35:33

1.5k

Views

Algebraic topology for non-nice spaces

Published on 25 Mar 2026 - 1:35

score 159 · Answer 5 · 2018-08-05 19:54:16

159

Views

Question about free resolution of an abelian group $H$

Published on 05 Aug 2018 - 19:54

score 284 · Answer 6 · 2018-08-05 19:54:37

284

Views

Homotopy operator

Published on 05 Aug 2018 - 19:54

score 145 · Answer 7 · 2018-08-06 02:49:13

145

Views

Let $X=\mathbb{R^2}-\{0\}$ and $Y=S^1 \cup\{[0,1]\times\{0\}\}$. Prove or Disprove that $X$ is homeomorphic to $Y$.

Published on 06 Aug 2018 - 2:49

score 187 · Answer 8 · 2026-03-27 10:09:58

187

Views

Invariant framing of $S^1$ and "the other one"

Published on 27 Mar 2026 - 10:09

score 167 · Answer 9 · 2018-08-06 18:11:33

167

Views

Torsion in a manifold embedded in the 3 sphere

Published on 06 Aug 2018 - 18:11

score 660 · Answer 10 · 2026-03-27 20:16:47

660

Views

Concrete Problems that can be solved by appealing to a Moduli Space

Published on 27 Mar 2026 - 20:16

score 219 · Answer 11 · 2018-08-07 00:39:53

219

Views

Compute the fundamental group and the first homology group of two discs attatched to $S^1$.

Published on 07 Aug 2018 - 0:39

score 42 · Answer 12 · 2026-03-25 20:36:16

42

Views

How does showing $\varphi \circ \iota_{\mathbb S^1}$ homotopic to $\mathrm{Id}_{\mathbb S^1}$ give us a contradiction to $f$ has no fixed points?

Published on 25 Mar 2026 - 20:36

score 135 · Answer 13 · 2026-03-31 17:14:23

135

Views

Is there a solvable subgroup with finite index and finite type in the mapping class group of a surface?

Published on 31 Mar 2026 - 17:14

score 155 · Answer 14 · 2026-03-25 19:12:09

155

Views

Is the direct limit of a system of null-homotopic inclusions weakly contractible?

Published on 25 Mar 2026 - 19:12

score 56 · Answer 15 · 2026-03-25 09:31:38

56

Views

SW class and expression by Whitney fromula

Published on 25 Mar 2026 - 9:31

List Question

Computing the homology groups of two tori attached in a certain way.

Homology of quotient space of $S^2$ under the identifications $x \sim -x$ for $X$ in the equator $S^1$.

Motivation for local cohomology and local homotopy theories in Algebraic topology.

Algebraic topology for non-nice spaces

Question about free resolution of an abelian group $H$

Homotopy operator

Let $X=\mathbb{R^2}-\{0\}$ and $Y=S^1 \cup\{[0,1]\times\{0\}\}$. Prove or Disprove that $X$ is homeomorphic to $Y$.

Invariant framing of $S^1$ and "the other one"

Torsion in a manifold embedded in the 3 sphere

Concrete Problems that can be solved by appealing to a Moduli Space

Compute the fundamental group and the first homology group of two discs attatched to $S^1$.

How does showing $\varphi \circ \iota_{\mathbb S^1}$ homotopic to $\mathrm{Id}_{\mathbb S^1}$ give us a contradiction to $f$ has no fixed points?

Is there a solvable subgroup with finite index and finite type in the mapping class group of a surface?

Is the direct limit of a system of null-homotopic inclusions weakly contractible?

SW class and expression by Whitney fromula

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