2 citations · 4 across the 5 of their papers we have counts for
5 papers
Iterative Desingularization
Vegard Fjellbo
A simplicial set is said to be non-singular if the representing map of each non-degenerate simplex is degreewise injective. The inclusion into the category of simplicial sets, of t…
Homotopy Theory of Non-singular Simplicial Sets
Vegard Fjellbo
A simplicial set is said to be non-singular if its non-degenerate simplices are embedded. Let denote the category of simplicial sets. We prove that the full subcategory $nsS…
Optimal Triangulation of Regular Simplicial Sets
Vegard Fjellbo
The Barratt nerve, denoted , is the endofunctor that takes a simplicial set to the nerve of the poset of its non-degenerate simplices. The ordered simplicial complex ,…
Exponentials of non-singular simplicial sets
Vegard Fjellbo, John Rognes
A simplicial set is non-singular if the representing map of each non-degenerate simplex is degreewise injective. The simplicial mapping set has -simplices given by the sim…
Kan subdivision and products of simplicial sets
Vegard Fjellbo, John Rognes
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 realizatio…