DMCA
Configuration spaces with partially summable labels and homology theories (2005)
| Venue: | 43 (2001) 43–72 MathReview Takuma National College of Technology Kagawa 769-1192, JAPAN Email: okuyama@dc.takuma-ct.ac.jp Received: 15 December 2003 Revised: 25 March 2005 Algebraic & Geometric Topology |
| Citations: | 6 - 1 self |
BibTeX
@INPROCEEDINGS{Shimakawa05configurationspaces,
author = {Kazuhisa Shimakawa and Kazuhisa Shimakawa and Kazuhisa Shimakawa},
title = {Configuration spaces with partially summable labels and homology theories},
booktitle = {43 (2001) 43–72 MathReview Takuma National College of Technology Kagawa 769-1192, JAPAN Email: okuyama@dc.takuma-ct.ac.jp Received: 15 December 2003 Revised: 25 March 2005 Algebraic & Geometric Topology},
year = {2005}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract It is shown that any subset of a topological abelian monoid gives rise to a generalized homology theory that is closely related to the notion of labeled configuration space. Applications of the main theorem include generalizations of the classical Dold-Thom and the Barratt-Priddy-QuillenSegal theorems. CONFIGURATION SPACES WITH PARTIALLY SUMMABLE LABELS AND HOMOLOGY THEORIES Dedicated to the memory of Professor Katsuo Kawakubo Kazuhisa SHIMAKAWA Abstract. It is shown that any subset of a topological abelian monoid gives rise to a generalized homology theory that is closely related to the notion of labeled configuration space. Applications of the main theorem include generalizations of the classical Dold-Thom and the BarrattPriddy-Quillen-Segal theorems.
