Are the fixed points of a continuous map from a compact, convex subset of the Euclidean space to itself always isolated? If not, is there a condition?

score 217 · Answer 7 · 2023-02-11 17:29:17

217

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Is the solution set $S$ to the equations $x^3 + y^3 +z^3 = 1$ and $xy = z$ in $\mathbb{R}$ a smooth manifold?

Published on 11 Feb 2023 - 17:29

score 134 · Answer 8 · 2026-04-11 01:46:23

134

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Components of Proper Embedded Connected Manifold

Published on 11 Apr 2026 - 1:46

score 117 · Answer 9 · 2026-03-26 17:53:37

117

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Must the topological boundary of an embedded manifold be a set of Lebesgue measure zero? Why is this question closed?

Published on 26 Mar 2026 - 17:53

score 140 · Answer 10 · 2026-03-30 02:06:28

140

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Classification of topologically constrained foliations on $X$ in low dimensions i.e. $2,3$

Published on 30 Mar 2026 - 2:06

score 65 · Answer 11 · 2026-03-25 14:34:38

65

Views

Existence and uniqueness of a twisted one form which satisfies some inner product property

Published on 25 Mar 2026 - 14:34

score 112 · Answer 12 · 2026-04-10 05:52:38

112

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Degree of a rational function on Riemann sphere

Published on 10 Apr 2026 - 5:52

score 16 · Answer 13 · 2023-02-16 19:47:52

16

Views

What is the terminology/notation used to describe the set of directions pointing "inside" a function space?

Published on 16 Feb 2023 - 19:47

score 93 · Answer 14 · 2026-03-25 17:19:23

93

Views

Applications of Strong Whitney Embedding

Published on 25 Mar 2026 - 17:19

score 49 · Answer 15 · 2026-03-31 07:49:44

49

Views

Homotopic normal vector field is isotopic

Published on 31 Mar 2026 - 7:49

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