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Homotopy equivalent iff isomorphic homotopy groups?

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#homotopy-theory
768
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Contractible Subspace and Homotopy Equivalence

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#algebraic-topology #examples-counterexamples #homotopy-theory
1.4k
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Homology of mapping telescope

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#algebraic-topology #homological-algebra #homotopy-theory
118
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Proof the Associative Property of H-group

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#algebraic-topology #proof-writing #homotopy-theory
1.8k
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Do freely homotopic maps induce the same homomorphism on fundamental groups?

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#algebraic-topology #homotopy-theory #fundamental-groups
149
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Showing this Null homotopic composite factors through a Null homotopic map

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#algebraic-topology #homotopy-theory
1.5k
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Good pair vs. cofibration

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#general-topology #algebraic-topology #examples-counterexamples #homotopy-theory
732
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Topological/homotopical classification for 1-dim CW-complexes?

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#algebraic-topology #homotopy-theory #cw-complexes
284
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How an empty set is collapsed to a point?

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#algebraic-topology #dynamical-systems #homotopy-theory #morse-theory
288
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What is the meaning of "Homotopy of Little disc Operads"

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#homotopy-theory #homology-cohomology #operads
424
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Being smooth homotopic relation: proof

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#differential-geometry #homotopy-theory #equivalence-relations
4k
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Definition of the algebraic intersection number of oriented closed curves.

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#differential-geometry #algebraic-topology #homotopy-theory #surfaces #homology-cohomology
1k
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Mathematical background for TQFT

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#reference-request #algebraic-topology #mathematical-physics #homotopy-theory #quantum-field-theory
339
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Homotopy of Involutory Matrices?

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#matrices #homotopy-theory #connectedness
345
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Expressing homotopy groups of spaces of (unpointed) maps $S^1\to M$ in terms of homotopy groups of spaces of pointed maps.

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#algebraic-topology #homotopy-theory

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