Work

Functorial CW-approximation

Year: 2015

Type: preprint

Abstract: The usual construction of a CW-approximation is functorial up to homotopy, but it is not functorial. In this note, we construct a functorial CW-approximation. Our construction takes inclusions of subspaces into inclusions of subcomplexes, and commutes with intersections of subspaces of a fixed space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1508.01944

Author: Hirschhorn, Philip S.

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1907448686

Cites: 1

Cited by:

Related to: 20