Functorial properties of Putnam's homology theory for Smale spaces

Authors

Robin J. Deeley, Universite Blaise Pascal
D. Brady Killough, Mount Royal University
Michael F. Whittaker, University of WollongongFollow

RIS ID

108541

Publication Details

Deeley, R. J., Killough, D. & Whittaker, M. F. (2016). Functorial properties of Putnam's homology theory for Smale spaces. Ergodic Theory and Dynamical Systems, 36 (5), 1411-1440.

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.

Grant Number

ARC/DP130100490

Additional Grant Number

http://purl.org/au-research/grants/ARC/DP130100490