Glasnik Matematicki, Vol. 53, No. 2 (2018), 403-436.

ON THE COMBINATORICS OF FACES OF TREES AND ANODYNE EXTENSIONS OF DENDROIDAL SETS

Matija Bašić

Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
e-mail: mbasic@math.hr

Abstract.   We discuss the combinatorics of faces of trees in the context of dendroidal sets and develop a systematic treatment of dendroidal anodyne extensions. As the main example and our motivation, we prove the pushout-product property for the stable model structure on dendroidal sets.

2010 Mathematics Subject Classification.   55U05, 55P48, 18G30

Key words and phrases.   Dendroidal sets, anodyne extensions, pushout-product property

Full text (PDF) (free access)

DOI: 10.3336/gm.53.2.11

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