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Number of intersection of two closed curves on the Torus

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#algebraic-topology #homotopy-theory
112
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Category of a space bounded by length of stratification

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#algebraic-topology #homotopy-theory #cw-complexes
130
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Non-contractible closed paths in U(2)

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#group-theory #homotopy-theory
1.2k
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Idea behind the proof of Whitehead's Theorem and Compression Lemma

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#algebraic-topology #proof-explanation #intuition #homotopy-theory
158
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What is this symbol in the definition of the homotopy extension property?

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#algebraic-topology #notation #definition #homotopy-theory
344
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Group structure and the composition rule for relative homotopy sets

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#group-theory #algebraic-topology #homotopy-theory
91
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Show that $q: X \to X/A$ is a homotopy equivalence

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#algebraic-topology #homotopy-theory
273
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Adem relations in one of J.F. Adams's proof

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#algebraic-topology #homotopy-theory
72
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Gluing discs produces an acyclic cofibration (Hinich)

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#homological-algebra #homotopy-theory #model-categories
320
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Is the Fundamental Groupoid a Bicategory?

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#algebraic-topology #category-theory #homotopy-theory #fundamental-groups
51
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Stasheff's proof of non-existence of $A_p$ structures on some spaces

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#algebraic-topology #homotopy-theory
1.2k
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Fundamental Group of Torus Covering Map

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups
30
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Anitpodal Map for Sphere, Mean Value

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups
90
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Proving homotopic equivalence between $^m$ and $R^{m+1}-\{0\}$

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#real-analysis #integration #homology-cohomology #homotopy-theory
42
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Exact sequence via $[-,-]_*$ with HEP

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#algebraic-topology #homotopy-theory #exact-sequence

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