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Basic, M. ; Nikolaus, Thomas

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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Details

Item typeArticle
Journal or Publication TitleJournal of k-theory
Publisher:CAMBRIDGE UNIV PRESS
Place of Publication:CAMBRIDGE
Volume:14
Page Range:pp. 387-421
Date2014
InstitutionsMathematics
Identification Number
ValueType
10.1017/is014005003jkt265DOI
Keywords; dendroidal sets; connective spectra; model structure
Dewey Decimal Classification500 Science > 510 Mathematics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-346528
Item ID34652

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