List questions from differential-topology

Published on 09 Apr 2026 - 7:48

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A fiber bundle over Euclidean space is trivial.

Published on 12 Apr 2026 - 6:41

717

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Pullback of differential form on the double covering

Published on 15 Apr 2026 - 15:24

1.1k

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Morse functions are dense in $\mathcal{C}^\infty(X,\mathbb{R})$.

Published on 17 Apr 2026 - 12:06

286

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Morse theory and homology of an algebraic surface (example)

Published on 13 Apr 2026 - 12:39

16.2k

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Computing the homology and cohomology of connected sum

Published on 11 Apr 2026 - 10:12

1k

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Variants of isotopy extensions

Published on 12 Apr 2026 - 8:32

438

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$\{(x,y)\!\in\!\mathbb{B}^n; -\varepsilon\leq-\|x\|^2\!+\!\|y\|^2\leq\varepsilon\}\approx\mathbb{B}^k\!\times\!\mathbb{B}^{n-k}$

Published on 16 Apr 2026 - 17:44

221

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$P^1$ not a regular level surface of a $C^1$ function on $P^2$

Published on 17 Apr 2026 - 14:28

179

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Grassmanians $Gr_k(\mathbb R^n) \cong Gr_{n-k}(\mathbb R^n)$

Published on 15 Apr 2026 - 19:17

505

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Homogeneity lemma

Published on 13 Apr 2026 - 18:41

564

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Morse function with indices of only $0$ and $n$

Published on 16 Apr 2026 - 21:51

396

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map that is the time 1 of a flow

Published on 16 Apr 2026 - 12:39

103

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domain of surface of revolution

Published on 14 Apr 2026 - 7:34

138

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Homology of submanifold

Published on 11 Apr 2026 - 0:44

List Question

Neighborhood Retraction of Boundary

A fiber bundle over Euclidean space is trivial.

Pullback of differential form on the double covering

Morse functions are dense in $\mathcal{C}^\infty(X,\mathbb{R})$.

Morse theory and homology of an algebraic surface (example)

Computing the homology and cohomology of connected sum

Variants of isotopy extensions

$\{(x,y)\!\in\!\mathbb{B}^n; -\varepsilon\leq-\|x\|^2\!+\!\|y\|^2\leq\varepsilon\}\approx\mathbb{B}^k\!\times\!\mathbb{B}^{n-k}$

$P^1$ not a regular level surface of a $C^1$ function on $P^2$

Grassmanians $Gr_k(\mathbb R^n) \cong Gr_{n-k}(\mathbb R^n)$

Homogeneity lemma

Morse function with indices of only $0$ and $n$

map that is the time 1 of a flow

domain of surface of revolution

Homology of submanifold

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