arXiv Open Access 2003

Comparing globular complex and flow

Philippe Gaucher

Lihat Sumber

Abstrak

A functor is constructed from the category of globular CW-complexes to that of flows. It allows the comparison of the S-homotopy equivalences (resp. the T-homotopy equivalences) of globular complexes with the S-homotopy equivalences (resp. the T-homotopy equivalences) of flows. Moreover, it is proved that this functor induces an equivalence of categories from the localization of the category of globular CW-complexes with respect to S-homotopy equivalences to the localization of the category of flows with respect to weak S-homotopy equivalences. As an application, we construct the underlying homotopy type of a flow.

Topik & Kata Kunci

math.AT math.CT

Penulis (1)

Philippe Gaucher

Format Sitasi

APA MLA BibTeX

Gaucher, P. (2003). Comparing globular complex and flow. https://arxiv.org/abs/math/0308063

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2003
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓