Internal categories, anafunctors and localisations
DM Roberts - arXiv preprint arXiv:1101.2363, 2011 - arxiv.org
In this article we review the theory of anafunctors introduced by Makkai and Bartels, and
show that given a subcanonical site S, one can form a bicategorical localisation of various 2 …
show that given a subcanonical site S, one can form a bicategorical localisation of various 2 …
Bicategorical fibration structures and stacks
The familiar construction of categories of fractions, due to Gabriel and Zisman, allows one to
invert a class W of arrows in a category in a universal way. Similarly, bicategories of fractions …
invert a class W of arrows in a category in a universal way. Similarly, bicategories of fractions …
Homotopy types of topological groupoids and Lusternik-Schnirelmann category of topological stacks
SHB Alsulami - 2016 - figshare.le.ac.uk
The concept of a groupoid was first introduced in 1926 by H. Brandt in his fundamental
paper [7]. The idea behind it is a small category in which every arrow is invertible. This …
paper [7]. The idea behind it is a small category in which every arrow is invertible. This …