Kan subdivision and products of simplicial sets

Vegard Fjellbo, John Rognes
2014 Transactions of the American Mathematical Society  
The canonical map from the Kan subdivision of a product of finite simplicial sets to the product of the Kan subdivisions is a simple map, in the sense that its geometric realization has contractible point inverses.
doi:10.1090/s0002-9947-2014-06500-8 fatcat:nynjpg4o4nh53ounz3opg6iq6a