Homotopy theory of stratified spaces

Douteau, Sylvain

doi:10.2140/agt.2021.21.507

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Homotopy theory of stratified spaces

Sylvain Douteau

Algebraic & Geometric Topology 21 (2021) 507–541

DOI: 10.2140/agt.2021.21.507

Abstract

We construct a cofibrantly generated model structure on the category of spaces stratified over a fixed poset, and show that it is Quillen-equivalent to a category of diagrams of simplicial sets. Then, considering all those model structures together, we construct a cofibrantly generated model structure on the category of all stratified spaces. In both model categories, weak equivalences are characterized by stratified homotopy groups.

PDF Access Denied

We have not been able to recognize your IP address 216.73.216.205 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

stratified homotopy theory, stratified spaces, stratified homotopy groups

Mathematical Subject Classification

Primary: 18N40, 55U35, 57N80

References

Publication

Received: 12 November 2019

Revised: 4 May 2020

Accepted: 25 May 2020

Published: 25 February 2021

Authors

Sylvain Douteau
LAMFA, CNRS UMR 7352 Université de Picardie Jules Verne Amiens France

Volume 21, issue 1 (2021)