Question

Show that $\tilde{H}_i(S^n-X)\approx \tilde{H}_{n-i-1}(X)$ when $X$ is homeomorphic to a finite connected graph

score 281 · Answer 1 · 2026-04-15 17:04:06

281

Views

Show that $\tilde{H}_i(S^n-X)\approx \tilde{H}_{n-i-1}(X)$ when $X$ is homeomorphic to a finite connected graph

Published on 15 Apr 2026 - 17:04

score 606 · Answer 2 · 2026-05-10 18:27:49

606

Views

Spivak Calculus on Manifolds - Tangent space on a boundary point of a manifold

Published on 10 May 2026 - 18:27

score 927 · Answer 3 · 2026-04-13 11:55:38

927

Views

Is the theory of the category of topological spaces computable?

Published on 13 Apr 2026 - 11:55

score 28 · Answer 4 · 2026-04-16 15:13:47

28

Views

Proving bicontinuity of $\phi : \mathbb{R^+}\times S^1 \rightarrow \mathbb{C^+}$.

Published on 16 Apr 2026 - 15:13

score 93 · Answer 5 · 2026-04-10 19:48:19

93

Views

Details about the set of all Riemann-Stieltjes Integrable functions

Published on 10 Apr 2026 - 19:48

score 528 · Answer 6 · 2026-05-10 19:53:48

528

Views

Saturated subsets of quotient map.

Published on 10 May 2026 - 19:53

score 176 · Answer 7 · 2026-04-11 17:07:48

176

Views

Homeomorphic Topological Spaces with the Subspace Topology

Published on 11 Apr 2026 - 17:07

score 289 · Answer 8 · 2026-05-10 16:08:28

289

Views

Diffeotopy group, Mapping Class group, Isometry group

Published on 10 May 2026 - 16:08

score 348 · Answer 9 · 2026-04-12 11:11:06

348

Views

Showing the uncountable well-ordered set with a largest element is compact.

Published on 12 Apr 2026 - 11:11

score 112 · Answer 10 · 2026-04-14 23:27:01

112

Views

Prove that $A$ is closed

Published on 14 Apr 2026 - 23:27

score 64 · Answer 11 · 2026-04-12 17:27:45

64

Views

subspace of a lindelof space

Published on 12 Apr 2026 - 17:27

score 43 · Answer 12 · 2026-04-17 08:32:25

43

Views

What's the difference between $\lim_{n \to \infty} \mu ([n,+\infty))$ and $\mu (\lim_{n \to \infty}[n,+\infty))$?

Published on 17 Apr 2026 - 8:32

score 28 · Answer 13 · 2026-04-15 15:32:44

28

Views

What is the guarentee of existance of the interval of the form $(x_a,a]$ such that $(x_a,a]\cap D=\emptyset$

Published on 15 Apr 2026 - 15:32

score 132 · Answer 14 · 2026-04-14 05:50:09

132

Views

Why is $e^{it}$ a submersion, and what is the relationship between the derivative $\dot h(t)$ and the differential $h_{*,t}$?

Published on 14 Apr 2026 - 5:50

score 58 · Answer 15 · 2026-04-12 04:05:37

58

Views

Mapping $\mathbb{R}^n$ "close" to integer points

Published on 12 Apr 2026 - 4:05

List Question

Show that $\tilde{H}_i(S^n-X)\approx \tilde{H}_{n-i-1}(X)$ when $X$ is homeomorphic to a finite connected graph

Spivak Calculus on Manifolds - Tangent space on a boundary point of a manifold

Is the theory of the category of topological spaces computable?

Proving bicontinuity of $\phi : \mathbb{R^+}\times S^1 \rightarrow \mathbb{C^+}$.

Details about the set of all Riemann-Stieltjes Integrable functions

Saturated subsets of quotient map.

Homeomorphic Topological Spaces with the Subspace Topology

Diffeotopy group, Mapping Class group, Isometry group

Showing the uncountable well-ordered set with a largest element is compact.

Prove that $A$ is closed

subspace of a lindelof space

What's the difference between $\lim_{n \to \infty} \mu ([n,+\infty))$ and $\mu (\lim_{n \to \infty}[n,+\infty))$?

What is the guarentee of existance of the interval of the form $(x_a,a]$ such that $(x_a,a]\cap D=\emptyset$

Why is $e^{it}$ a submersion, and what is the relationship between the derivative $\dot h(t)$ and the differential $h_{*,t}$?

Mapping $\mathbb{R}^n$ "close" to integer points

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