arXiv:1203.6891 Abstract | arXiv Analytics

arXiv:1203.6891 [math.AT]Abstract References Reviews Resources

Dendroidal sets as models for connective spectra

Published 2012-03-30, updated 2014-05-19Version 3

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.

Comments: 27 pages, final version, accepted for publication in Journal of K-theory

Categories: math.AT, math.CT

Keywords: connective spectra, fully kan dendroidal sets, homotopy coherent operads, combinatorial model, model structure

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