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The fiber is a homotopy fiber

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#category-theory #homotopy-theory #simplicial-stuff #model-categories
543
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Homotopy groups of double comb space

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#algebraic-topology #homotopy-theory
339
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Homotopy type of a disk and homotopy type of a sphere.

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#algebraic-topology #homology-cohomology #homotopy-theory #projective-space
220
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The Whitehead product and $\pi_{\leq 3} S^2$

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#algebraic-topology #category-theory #homotopy-theory #higher-category-theory #groupoids
99
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Modified homotopy in the punctured disc

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#algebraic-topology #homotopy-theory #fundamental-groups
126
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map on connected components is injective

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#category-theory #homotopy-theory #simplicial-stuff #model-categories
229
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The set of homotopy classes

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#algebraic-topology #homotopy-theory
634
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Is the geometric realization of a pointed category contractible?

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#category-theory #homotopy-theory #k-theory
141
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connected components of homotopy pullbacks of nerves of categories

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#category-theory #homotopy-theory #model-categories
961
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Homotopy pullback square and fiber sequence

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#algebraic-topology #homotopy-theory #fiber-bundles #exact-sequence
302
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The power and the use of homotopy pullback?

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#algebraic-topology #homotopy-theory #fiber-bundles #pullback
129
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Exercise 10. Groups and Covering spaces. Lima

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#general-topology #algebraic-topology #homotopy-theory #mobius-band
3.4k
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Lens space and its generalization, homotopy/homology groups

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#algebraic-topology #manifolds #homology-cohomology #homotopy-theory
69
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Specifying composites of morphisms in a localisation of a triangulated category

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#category-theory #homotopy-theory #triangulated-categories #derived-categories
487
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Loop isn't contractible - compared to a path that looks like a loop

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#algebraic-topology #homotopy-theory

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