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arXiv · 2001.05758

Iterative Desingularization

Vegard Fjellbo
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Abstract

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 the full subcategory whose objects are the non-singular simplicial sets, admits a left adjoint functor called desingularization. In this paper, we provide an iterative description of desingularization that is useful for theoretical purposes as well as for doing calculations.

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Vegard Fjellbo. 2020-01-16. Iterative Desingularization. https://arxiv.org/abs/2001.05758

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