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arXiv · 1407.2992

Functorial properties of Putnam's homology theory for Smale spaces

Robin J. Deeley·D. Brady Killough·Michael F. Whittaker
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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.

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Robin J. Deeley, D. Brady Killough, Michael F. Whittaker. 2014-07-11. Functorial properties of Putnam's homology theory for Smale spaces. https://doi.org/10.1017/etds.2014.134

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