On the Existence of an Orthogonal Factorization System on 1-Cob and 2-Cob
Category Theory
2015-06-11 v1
Abstract
We define the category 2-Cob combinatorially and use this definition to prove the existence of an orthogonal factorization system. In the second half of the paper, we define oriented 1-Cob similarly and define a functor from oriented 1-Cob to 2-Cob. After defining this functor, the orthogonal factorization system on 2-Cob is used, in turn, to prove the existence of an orthogonal factorization system on oriented 1-Cob.
Keywords
Cite
@article{arxiv.1506.03119,
title = {On the Existence of an Orthogonal Factorization System on 1-Cob and 2-Cob},
author = {Joseph Abadi},
journal= {arXiv preprint arXiv:1506.03119},
year = {2015}
}