List questions from de-rham-cohomology

Published on 26 Mar 2026 - 1:10

425

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de Rham cohomology and connected components

Published on 26 Mar 2026 - 9:48

307

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de Rham cohomology of $U(2)$

Published on 26 Mar 2026 - 9:42

1.2k

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Homotopy equivalence of $\mathbb{R}^3 \setminus \{$lines$\}$

Published on 26 Mar 2026 - 9:42

516

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de Rham cohomology of $S^2 \setminus \{$points$\}$

Published on 26 Mar 2026 - 9:42

262

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Topological invariance of compactly supported de Rham cohomology

Published on 26 Mar 2026 - 12:54

184

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How to Find a Vector Field(/Differential Form) with Div(F) = 0 but F \ne Curl(A) on R^3\(S^1x{0})

Published on 26 Mar 2026 - 11:01

101

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Existence of a countable locally finite cover with nonempty intersection of two adjacent elements

Published on 26 Mar 2026 - 9:42

118

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The pullback of $\alpha\in \Omega^k(N)$ by $F:M\times[0,1]\to N$.

Published on 26 Mar 2026 - 11:00

273

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Computing algebraic de Rham cohomology

Published on 16 Apr 2026 - 6:22

161

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Exterior Product on de rham homology

Published on 09 Apr 2026 - 9:22

773

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Proof of the Hairy Ball Theorem

Published on 12 Apr 2026 - 16:50

422

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nonzero cohomology class on even dimensional compact manifold

Published on 10 Apr 2026 - 23:38

724

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Show that every smooth map from $S^n\to T^n$ has degree 0.

Published on 15 Apr 2026 - 19:25

147

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algebraic de Rham cohomology of normal crossing singularities

Published on 10 May 2026 - 11:21

List Question

How should I interpret $H^1(X,\{P_1,\dotsc,P_n\};\mathbb{Z}\oplus i\mathbb{Z})$?

de Rham cohomology and connected components

de Rham cohomology of $U(2)$

Homotopy equivalence of $\mathbb{R}^3 \setminus \{$lines$\}$

de Rham cohomology of $S^2 \setminus \{$points$\}$

Topological invariance of compactly supported de Rham cohomology

How to Find a Vector Field(/Differential Form) with Div(F) = 0 but F \ne Curl(A) on R^3\(S^1x{0})

Existence of a countable locally finite cover with nonempty intersection of two adjacent elements

The pullback of $\alpha\in \Omega^k(N)$ by $F:M\times[0,1]\to N$.

Computing algebraic de Rham cohomology

Exterior Product on de rham homology

Proof of the Hairy Ball Theorem

nonzero cohomology class on even dimensional compact manifold

Show that every smooth map from $S^n\to T^n$ has degree 0.

algebraic de Rham cohomology of normal crossing singularities

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