TL;DR
This paper provides an explicit formula for a strong deformation retraction of the mapping cylinder of a homotopy equivalence onto its top, enhancing understanding of the structure of mapping cylinders.
Contribution
It introduces a concrete, explicit construction for deformation retraction of mapping cylinders in the context of homotopy equivalences.
Findings
Explicit formula for deformation retraction
Improved understanding of mapping cylinder structure
Potential applications in algebraic topology
Abstract
Given a homotopy equivalence f between two topological spaces we assemble well known pieces and unfold them into an explicit formula for a strong deformation retraction of the mapping cylinder of f onto its top.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Vibration and Dynamic Analysis