A theoretical framework for proper homotopy theory-Reference-Cited by-同舟云学术

A theoretical framework for proper homotopy theory

Published:1990-05 Issue:3 Volume:107 Page:475-482
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Ayala R.,Quintero A.,Dominguez E.

Abstract

AbstractFollowing the techniques of ordinary homotopy theory, a theoretical treatment of proper homotopy theory, including the known proper homotopy groups, is provided within Baues's theory of cofibration categories.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference32 articles.

1. Note on Cofibrations.

2. [29] Siebenmann L. . The obstruction to finding a boundary for an open manifold of dimension ≥ 5. Ph.D. thesis, Princeton University (1965).

3. Homotopical Algebra

4. On detecting euclidean space homotopically among topological manifolds

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classification of exterior and proper fibrations;Proceedings of the American Mathematical Society;2020-02-26

2. Brown representability for exterior cohomology and cohomology with compact supports;Journal of the London Mathematical Society;2014-05-30

3. The proper Lusternik–Schnirelmann category of semistable one-ended 3-manifolds;Topology and its Applications;2013-03

4. A remark on proper partitions of unity;Topology and its Applications;2012-09

5. Detecting cohomology classes for the proper LS category. The case of semistable 3-manifolds;Mathematical Proceedings of the Cambridge Philosophical Society;2011-12-21