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Dendroidal sets as models for connective spectra

Published online by Cambridge University Press:  08 July 2014

Matija Bašić  and
Thomas Nikolaus
Matija Bašić
Affiliation:
Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu, Croatia, mbasic@math.hr
Thomas Nikolaus
Affiliation:
Fakultät für Mathematik, Universität Regensburg, thomas1.nikolaus@mathematik.uni-regensburg.de
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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.

Keywords

dendroidal setsconnective spectramodel structure55P4755P4818D50
Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 3 , December 2014 , pp. 387 - 421
Copyright
Copyright © ISOPP 2014 

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