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Are $C^\infty$ exotic spheres $C^k$ exotic?

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#algebraic-topology #differential-topology #homotopy-theory
173
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Bijection of homotopy classes

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#algebraic-topology #homotopy-theory
1.6k
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Significance of homology groups of a topological space

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#algebraic-topology #intuition #homology-cohomology
169
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Correctness of reasoning about finiteness of degree of a covering map

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#general-topology #algebraic-topology #compactness #covering-spaces
661
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Is there only one free (continuous) action of $\mathbb{Z}_2$ on $S^2$?

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#algebraic-topology #geometric-topology
63
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Show the following is a functor.

Published on
#algebraic-topology #category-theory
416
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Two versions of invariance of domain theorem?

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#general-topology #algebraic-topology #proof-verification
137
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Why the dual of some results are true while others are false?

Published on
#algebraic-topology #homotopy-theory #philosophy #duality-theorems
357
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Maps between direct limits and functoriality of $f^{-1}:Shv(Y) \rightarrow Shv(X)$ and $f_{*}:Shv(X) \rightarrow Shv(Y)$

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#abstract-algebra #algebraic-geometry #algebraic-topology #category-theory #sheaf-theory
137
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Necessary condition for removing a simplex and changing homotopy type.

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#algebraic-topology #homotopy-theory
72
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Question about covering spaces extending inverse.

Published on
#algebraic-topology #covering-spaces
322
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Piecewise differentiable homotopy

Published on
#algebraic-topology #differential-topology
535
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Theorem on space of maps to Eilenberg-Maclane space

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#algebraic-topology #homotopy-theory #eilenberg-maclane-spaces
163
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What is the Quotient on the Coproduct in Adjunction Spaces

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#general-topology #algebraic-topology #quotient-spaces
97
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Few questions about compactly generated Hausdorff spaces and Yoneda lemma.

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#algebraic-topology #category-theory

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