Homology, Homotopy and Applications

Volume 6 (2004)

Number 1

Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids

Pages: 501 – 505

DOI: http://dx.doi.org/10.4310/HHA.2004.v6.n1.a24


Dimitri Chikhladze (Tbilisi State University, Tbilisi, Republic of Georgia)


We show that the class of second order covering maps of simplicial sets in the sense of R. Brown and G. Janelidze is a part of a factorization system for the class of Kan fibrations of simplicial sets.


simplicial set, Kan fibration, monotone-light factorization, covering map

2010 Mathematics Subject Classification

18A20, 18A40, 18G55, 55U10, 57M10

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