ON THE HOMOTOPY THEORY OF MONOIDS (CATEGORY, WORD THEOREM, TOPOLOGY.

Title: ON THE HOMOTOPY THEORY OF MONOIDS (CATEGORY, WORD THEOREM, TOPOLOGY.
Identifier: AAI8409398
identifier: 8409398
Creator: HURWITZ, CAROL M.
Contributor: Alex Heller
Date: 1984
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: In this paper, it is shown that any connected, small category can be embedded in a semi-groupoid (a category in which there is at least one isomorphism between any two elements) in such a way that the embedding induces a homotopy equivalence of classifying spaces. This immediately gives a monoid whose classifying space is of the same homotopy type as that of the small category. This construction is essentially algorithmic, and furthermore, yields a finitely presented monoid whenever the small category is finitely presented. Some of these results are generalizations of ideas of McDuff.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.
Program: Mathematics