Functorial properties of Putnam's homology theory for Smale spaces

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)

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, Dr Michael
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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