A model structure via orbit spaces for equivariant homotopy

Date

2019-06-26

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
1
views
9
downloads

Citation Stats

Series

Abstract

Let G be discrete group and FF be a collection of subgroups of G. We show that there exists a left induced model structure on the category of right G-simplicial sets, in which the weak equivalences and cofibrations are the maps that induce weak equivalences and cofibrations on H-orbits for all H in FF. This gives a model categorical criterion for maps that induce weak equivalences on H-orbits to be weak equivalences in the FF-model structure.

Source Title

Journal of Homotopy and Related Structures

Publisher

Springer

Course

Other identifiers

Book Title

Degree Discipline

Degree Level

Degree Name

Citation

Published Version (Please cite this version)

Language

English