Symmetric Spectra and Topological Hochschild Homology (2000)
by
Brooke Shipley
| Citations: | 13 - 6 self |
BibTeX
@MISC{Shipley00symmetricspectra,
author = {Brooke Shipley},
title = {Symmetric Spectra and Topological Hochschild Homology},
year = {2000}
}
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Abstract
A functor is defined which detects stable equivalences of symmetric spectra. As an application, the definition of topological Hochschild homology on symmetric ring spectra using the Hochschild complex is shown to agree with Bokstedt's original ad hoc definition. In particular, this shows that Bokstedt's definition is correct even for non-connective, non-convergent symmetric ring spectra.
Citations
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| 42 | Homotopy theories and model categories - Dwyer, Spaliński |
| 39 | Topological Hochschild homology - Bökstedt - 1990 |
| 13 | Cellular spaces, null spaces and homotopy localization - Farjoun - 1996 |
| 8 | Homotopy and homology of diagrams of spaces - Farjoun - 1985 |
| 1 | M.: Homotopy theory of Ɣ-spaces, spectra, and bisimplicial sets - Bousfield, Friedlander - 1978 |
| 1 | with an appendix by Cole - Elmendorf, Kriz, et al. - 1997 |
