List questions from algebraic-topology

Published on 25 Mar 2026 - 7:59

89

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Homology with coefficients from homology.

Published on 23 Mar 2026 - 3:08

819

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Show that a complex polynomial has a root inside a disk

Published on 25 Mar 2026 - 12:52

73

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Intersection form of a Pseudomanifold

Published on 23 Mar 2026 - 13:05

416

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Topologies of Matrix Groups & Algebras

Published on 25 Mar 2026 - 19:02

117

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Isotopy classes of maps from the $3$-sphere to the $6$-sphere

Published on 25 Mar 2026 - 11:13

47

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Understanding certain deformation retractions

Published on 18 Mar 2018 - 16:01

150

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Let $X$ be the space obtained from $\mathbb{R}^3$ by removing the axes $x,y$ and $z$. Calculate the fundamental group of $X$.

Published on 25 Mar 2026 - 6:22

108

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Unclear argument in Fulton's book on algebraic topology

Published on 25 Mar 2026 - 7:45

622

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Computing cellular homology of the sphere using a different CW structure

Published on 23 Mar 2026 - 10:33

1.8k

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Action of universal covering deck transformations group

Published on 19 Mar 2018 - 9:39

290

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Homology Group of Infinite-dimensional Vector Space without a point

Published on 19 Mar 2018 - 11:39

58

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Let $Y:=\mathbb{R}^2-\{(0,1),(1,0),(-1,0)\}$. Calculate $\pi_1(Y,y_0)$, where $y_0=(0,0)$.

Published on 22 Mar 2026 - 18:25

533

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Let $A$ be a finely generated Abelian group. Prove that there is a topological space $X$ with a basic point $x_0$ such that $\pi_1(X,x_0)\cong A$.

Published on 25 Mar 2026 - 8:10

204

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Example of a manifold $M$ for which $TM$ and $T^*M$ are not isomorphic.

Published on 25 Mar 2026 - 12:54

List Question

components of subgraph determine subgroups up to conjugacy

Homology with coefficients from homology.

Show that a complex polynomial has a root inside a disk

Intersection form of a Pseudomanifold

Topologies of Matrix Groups & Algebras

Isotopy classes of maps from the $3$-sphere to the $6$-sphere

Understanding certain deformation retractions

Let $X$ be the space obtained from $\mathbb{R}^3$ by removing the axes $x,y$ and $z$. Calculate the fundamental group of $X$.

Unclear argument in Fulton's book on algebraic topology

Computing cellular homology of the sphere using a different CW structure

Action of universal covering deck transformations group

Homology Group of Infinite-dimensional Vector Space without a point

Let $Y:=\mathbb{R}^2-\{(0,1),(1,0),(-1,0)\}$. Calculate $\pi_1(Y,y_0)$, where $y_0=(0,0)$.

Let $A$ be a finely generated Abelian group. Prove that there is a topological space $X$ with a basic point $x_0$ such that $\pi_1(X,x_0)\cong A$.

Example of a manifold $M$ for which $TM$ and $T^*M$ are not isomorphic.

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