Return to search

A category of pseudo-tangles with classifying space Ω∞ S∞ and applications / Eine Kategorie aus Pseudo-Verschlingungen mit klassifizierendem Raum Ω∞ S∞ und Anwendungen

It is well known that the group completion of the classifying space of the free permutative category is Ω∞ S∞, i.e. stable homotopy of the 0-sphere. Quillen´s S-1S construction can be applied to the free permutative category, which has a pictorial description by pseudo-tangles, and this leads to another pictorial descripted category G which has the classifying space Ω∞ S∞. With help of this model G we can give generators for the homotopy groups of Ω∞ S∞ for i=0,1,2. As a further application, we compute the fundamental group of the free permutative category with duality and show that the association of a duality structure on the categorial level does not lead to a group completion on the level of classifying spaces.

Identiferoai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-2000090826
Date08 September 2000
CreatorsBlömer, Olaf
ContributorsProf. Dr. Rainer Vogt, Prof. Dr. Christian Kassel
Source SetsUniversität Osnabrück
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/gzip, application/gzip
Rightshttp://rightsstatements.org/vocab/InC/1.0/

Page generated in 0.0024 seconds