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Homotopy equivalence of mapping cylinders

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#general-topology #homotopy-theory
56
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HTT, 2.4.1.3, Lurie

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#homotopy-theory #simplicial-stuff #higher-category-theory
60
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Elaboration of a paragraph in Hatcher.

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#algebraic-topology #homotopy-theory
105
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$f$ and $g$ are homotopic and $f$ has a lift. Show that $g$ also has a lift.

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#general-topology #homotopy-theory
113
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Notion of path in a topos

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#homotopy-theory #universal-algebra #topos-theory
143
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Intuition for Freudenthal Suspension

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#general-topology #soft-question #intuition #homotopy-theory #cw-complexes
297
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homotopy equivalent structure groups have h.e. classifying spaces (if $G\simeq H$ then $BG\simeq BH$)

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#homotopy-theory #vector-bundles #principal-bundles #classifying-spaces
407
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Do colimits/limits exist in category of enriched categories?

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#category-theory #homotopy-theory #limits-colimits #simplicial-stuff #monoidal-categories
120
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How should we characterize a continuous family of continuous mappings?

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#general-topology #continuity #homotopy-theory
143
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The n-Sphere is of the same homotopy-type as the product of 2 "almost" n-Spheres

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#algebraic-topology #homotopy-theory
139
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What is the relation of a monoid and a topological monoid

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#algebraic-topology #category-theory #homotopy-theory #simplicial-stuff
69
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Proving that two links in $\mathbb{R}^{n}$ are not equivalent

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#algebraic-topology #homotopy-theory
50
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How is this lemma used?

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#algebraic-topology #proof-explanation #homotopy-theory
712
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Homology of solid torus with k points removed

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#algebraic-topology #homology-cohomology #homotopy-theory
71
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How can I mimic the given proof?

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#algebraic-topology #proof-writing #homotopy-theory

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