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15
89
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Good pair and G-delta vs cofibration

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#algebraic-topology #cofibrations
87
Views

Show that if $A$ is contractible and $i:A \to X$ is a cofibration, then there exists a retraction from $X$ onto $A$.

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#general-topology #algebraic-topology #cofibrations
69
Views

Lifting property of Serre fibration that is weak equivalence

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#algebraic-topology #cofibrations #homotopy-extension-property
31
Views

When will a cofibration be a principal cofibration?

Published on
#homotopy-theory #cofibrations
49
Views

How to understand cofibration as a commutative diagram?

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#algebraic-topology #homotopy-theory #cofibrations
77
Views

Comparing the definition of a cone from Wikipedia and from Marty Arkowitz.

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#algebraic-topology #definition #homotopy-theory #fibration #cofibrations
547
Views

Understanding some steps in the proof that the inclusion map of a space into the cone of that space is a cofibration.

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#algebraic-topology #homotopy-theory #cofibrations
163
Views

Why the map of the pushout of the cone is taken from $X$ to $*$?

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#algebraic-topology #homotopy-theory #pushforward #cofibrations
49
Views

Why we are sure that $h^{'} $ is a homeomorphism?

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#general-topology #cofibrations
44
Views

Induced map in model categories

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#category-theory #direct-sum #model-categories #cofibrations
55
Views

Model categories: $\text{Ho}$ and $\cal C_{cf}/\sim$

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#homotopy-theory #model-categories #fibration #cofibrations
116
Views

Homotopy on $S^{n-1}$ extends to homotopy on $D^n$

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#general-topology #algebraic-topology #cofibrations
211
Views

generalization of fibration

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#reference-request #algebraic-topology #fibration #cofibrations
63
Views

Showing that homotopy and homology groups of $X=\{0\}\cup\{1/n\}$ and $Y=\{1/n\}$ are isomorphic.

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#algebraic-topology #homology-cohomology #homotopy-theory #cofibrations
50
Views

Arrow category $\cal K^\to$

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#category-theory #morphism #cofibrations

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