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Braid / Other Theory to Describe this version of the Dirac Belt Trick

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#algebraic-topology #homotopy-theory
1.3k
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Continuity of homotopy from constant function to identity

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#general-topology #algebraic-topology #homotopy-theory
3.2k
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Relation between the braid group and the mapping class group of the plane

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#general-topology #algebraic-topology #homotopy-theory #knot-theory #low-dimensional-topology
952
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Failure of excision for $\pi_2$

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#algebraic-topology #homotopy-theory
823
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Undergraduate-level intro to homotopy

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#reference-request #algebraic-topology #homotopy-theory
3.6k
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Mapping cylinder is a CW complex

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#algebraic-topology #homotopy-theory #homology-cohomology #cw-complexes
692
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Cohomology groups of $K(\mathbb{Z}_p \times \mathbb{Z}_p,1)$

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
747
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What are simplicial topological spaces intuitively?

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#algebraic-topology #homotopy-theory #simplicial-stuff
4.1k
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Fundamental group of a CW complex only depends on its $2$-skeleton

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#algebraic-topology #homotopy-theory #fundamental-groups #cw-complexes
331
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Starlike region in $\mathbb R^n$ is contractible.

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#homotopy-theory
123
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coproduct of base and fiber is weakly equivalent to total space of a fibration in stable model category

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#algebraic-topology #homotopy-theory #model-categories
300
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Properties of $\pi_n$ from a category theoretical point of view

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#algebraic-topology #soft-question #homotopy-theory
473
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Composites of homotopic maps are homotopic.

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#algebraic-topology #homotopy-theory
1.1k
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Fat geometric realization weakly equivalent to the usual one

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#algebraic-topology #homotopy-theory #simplicial-stuff
200
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Coset of the Abstract index group of a Banach Algebra?

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#group-theory #homotopy-theory #banach-algebras

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