Deeley, R. J., Killough, D. B. and Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces. Ergodic Theory and Dynamical Systems, 36(5), pp. 1411-1440. (doi: 10.1017/etds.2014.134)
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Abstract
We investigate functorial properties of Putnam’s homology theory for Smale spaces. Our analysis shows that the addition of a conjugacy condition is necessary to ensure functoriality. Several examples are discussed that elucidate the need for our additional hypotheses. Our second main result is a natural generalization of Putnam’s Pullback Lemma from shifts of finite type to non-wandering Smale spaces.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Whittaker, Professor Mike |
| Authors: | Deeley, R. J., Killough, D. B., and Whittaker, M. F. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Ergodic Theory and Dynamical Systems |
| Journal Abbr.: | Ergodic Th. Dynam. Sys. |
| Publisher: | Cambridge University Press |
| ISSN: | 0143-3857 |
| ISSN (Online): | 1469-4417 |
| Published Online: | 19 March 2015 |
| Copyright Holders: | Copyright © 2016 Cambridge University Press |
| First Published: | First published in Ergodic Theory and Dynamical Systems 36(5):1411-1440 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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