Publication
Title
Lax algebras via initial monad morphisms: APP, TOP, MET and ORD
Author
Abstract
This paper contributes to the algebraization of topology via the theory of monads and lax extensions of monads and their associated lax algebras (see Barr (1970) [1], Clementino and Hofmann (2003) [2], Clementino, Hofmann and Tholen (2004) [4], Clementino and Tholen (2003) [5], Lowen and Vroegrijk (2008) [11], Manes (1974) [12], Seal (2005) [14]). We construct a monad View the MathML source, a lax extension View the MathML source and monad morphisms into View the MathML source from the most important monads as studied in the aforementioned papers such that their lax extensions and their associated categories of lax algebras can be derived from the extension View the MathML source by initial lifts via these monad morphisms. This provides us with a completely unified way to obtain the categories View the MathML source, View the MathML source, View the MathML source and View the MathML source without the necessity to leave the realm of View the MathML source as was previously required in Clementino and Hofmann (2003) [2], Clementino, Hofmann and Tholen (2004) [4] and Clementino and Tholen (2003) [5] in particular in order to obtain View the MathML source and View the MathML source.
Language
English
Source (journal)
Topology and its applications. - Amsterdam
Publication
Amsterdam : 2011
ISSN
0166-8641
Volume/pages
158:7(2011), p. 882-903
ISI
000289753900006
Full text (Publishers DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 10.02.2011
Last edited 24.05.2017
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