List questions from geometric-topology

387

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First generalization of the inverse function theorem Q.10 section 1.3 in Allan Pollack and Guillemin(2).

Published on 19 Sep 2018 - 14:47

121

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A difficulty in understanding a part of the solution of Q.10 section 1.3 in Allan Pollack and Guillemin(3).

Published on 19 Sep 2018 - 15:53

541

Views

A difficulty in understanding a part of solution of Q.1.3.10 in Allan Pollack and Guillemin.

Published on 20 Sep 2018 - 2:46

185

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Glueing the metric

Published on 24 Sep 2018 - 4:33

58

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A cycle $A$ homologous to another cycle $B$ is well disjoint with $B$?

Published on 25 Sep 2018 - 1:34

272

Views

Does the monoid of knots form a ring?

Published on 25 Mar 2026 - 3:22

111

Views

Commutativity in Mapping Class Groups

Published on 25 Mar 2026 - 6:53

176

Views

Concise yet geometric algebraic topology book/resource

Published on 26 Sep 2018 - 21:13

83

Views

Polynomial curves $F(x,y)$ giving rise to loops

Published on 27 Sep 2018 - 10:17

1.4k

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A confusion in the proof of Stack of records theorem.

Published on 30 Sep 2018 - 1:51

218

Views

A confusion in finding the tangent space of $O(n)$ group.

Published on 30 Sep 2018 - 23:53

52

Views

Why $T_{A}M(n) = M(n)$ and why $T_{f(A)}S(n) = S(n)$ and why $M(n)$ & $S(n)$ are manifolds. (Guillemin & Pollack p.23)

Published on 19 Mar 2026 - 13:05

101

Views

A difficulty in the proof of partial converse I.(p. 24 in Guillemin & Pollack)

Published on 06 Oct 2018 - 22:26

824

Views

Show that any cell complex is homotopy equivalent to a CW complex

Published on 25 Mar 2026 - 6:11

82

Views

Small perturbation of $f$ doesn't affect the topology of $f^{-1}(0)$

Published on 08 Oct 2018 - 19:26

List Question

First generalization of the inverse function theorem Q.10 section 1.3 in Allan Pollack and Guillemin(2).

A difficulty in understanding a part of the solution of Q.10 section 1.3 in Allan Pollack and Guillemin(3).

A difficulty in understanding a part of solution of Q.1.3.10 in Allan Pollack and Guillemin.

Glueing the metric

A cycle $A$ homologous to another cycle $B$ is well disjoint with $B$?

Does the monoid of knots form a ring?

Commutativity in Mapping Class Groups

Concise yet geometric algebraic topology book/resource

Polynomial curves $F(x,y)$ giving rise to loops

A confusion in the proof of Stack of records theorem.

A confusion in finding the tangent space of $O(n)$ group.

Why $T_{A}M(n) = M(n)$ and why $T_{f(A)}S(n) = S(n)$ and why $M(n)$ & $S(n)$ are manifolds. (Guillemin & Pollack p.23)

A difficulty in the proof of partial converse I.(p. 24 in Guillemin & Pollack)

Show that any cell complex is homotopy equivalent to a CW complex

Small perturbation of $f$ doesn't affect the topology of $f^{-1}(0)$

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