On inner Kan complexes in the category of dendroidal sets

Details On inner Kan complexes in the category of dendroidal sets On inner Kan complexes in the category of dendroidal sets

2007-01-10

arxiv.org/abs/math/0701295v2

Advances in Mathematics Volume 221, Issue 2, 1 June 2009, Pages 343-389

Mathematics

Algebraic Topology

41 pages. Minor corrections to Sections 4 and 9

Scientific paper

The category of dendroidal sets is an extension of that of simplicial sets,
suitable for defining nerves of operads rather than just of categories. In this
paper, we prove some basic properties of inner Kan complexes in the category of
dendroidal sets. In particular, we extend fundamental results of Boardman and
Vogt, of Cordier and Porter, and of Joyal to dendroidal sets.

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