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15
71
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Extension of a nullhomotopic map into S^n

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#algebraic-topology #continuity #homotopy-theory
16
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Smooth homotopy but not smooth isotopy

Published on
#homotopy-theory
94
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If two map induce the same homomorphism on the fundamental group their restrictions to X^1 are homotopic fixing x_0

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#algebraic-topology #homotopy-theory
79
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Covering Homotopy theorem

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#algebraic-topology #homotopy-theory #covering-spaces
63
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"Left homotopy" and "right homotopy" are equivalent in an $\infty$-category.

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#category-theory #homotopy-theory #simplicial-stuff
72
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Torus with one disk attached inside

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#abstract-algebra #general-topology #algebraic-topology #homotopy-theory #fundamental-groups
55
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Cofiber sequence and long exact sequence of

Published on
#algebraic-topology #homological-algebra #homotopy-theory
32
Views

Lifting of Pathhomotopies

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#general-topology #algebraic-topology #homotopy-theory #covering-spaces
133
Views

Homotopy equivalence of Topologist's sine curve

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#algebraic-topology #homotopy-theory
85
Views

Fundamental group of S1

Published on
#manifolds #homotopy-theory
66
Views

Comparing the Segal and Milnor Models for BG

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#homotopy-theory #simplicial-stuff #classifying-spaces
79
Views

If every map $I\to S^1$ is nullhomotopic, then $\pi_1(S^1)$ is trivial?

Published on
#algebraic-topology #homotopy-theory #fundamental-groups
80
Views

Finite product of homotopy classes.

Published on
#algebraic-topology #solution-verification #homotopy-theory
59
Views

A recreational question: Exploring some assumptions. Have I made an accurate conclusion?

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#soft-question #differential-topology #smooth-manifolds #recreational-mathematics #homotopy-theory
127
Views

Two surfaces with same homology groups but different fundamental group

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#algebraic-topology #homology-cohomology #homotopy-theory #surfaces #fundamental-groups

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