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Dendroidal sets as models for connective spectra
Basic, M. and Nikolaus, Thomas (2014) Dendroidal sets as models for connective spectra. Journal of k-theory 14, pp. 387-421.Date of publication of this fulltext: 30 Sep 2016 08:24
Article
DOI to cite this document: 10.5283/epub.34652
Abstract
Dendroidal sets have been introduced as a combinatorial model for homotopy coherent operads. We introduce the notion of fully Kan dendroidal sets and show that there is a model structure on the category of dendroidal sets with fibrant objects given by fully Kan dendroidal sets. Moreover we show that the resulting homotopy theory is equivalent to the homotopy theory of connective spectra.
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| Item type | Article | ||||
| Journal or Publication Title | Journal of k-theory | ||||
| Publisher: | CAMBRIDGE UNIV PRESS | ||||
|---|---|---|---|---|---|
| Place of Publication: | CAMBRIDGE | ||||
| Volume: | 14 | ||||
| Page Range: | pp. 387-421 | ||||
| Date | 2014 | ||||
| Institutions | Mathematics | ||||
| Identification Number |
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| Keywords | ; dendroidal sets; connective spectra; model structure | ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-346528 | ||||
| Item ID | 34652 |
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