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A category of pseudo-tangles with classifying space Ω∞ S∞ and applications

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2000090826
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DC ElementWertSprache
dc.contributor.advisorProf. Dr. Rainer Vogt
dc.creatorBlömer, Olaf
dc.date.accessioned2010-01-30T14:50:09Z
dc.date.available2010-01-30T14:50:09Z
dc.date.issued2000-09-08T17:09:16Z
dc.date.submitted2000-09-08T17:09:16Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2000090826-
dc.description.abstractIt 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.eng
dc.language.isoeng
dc.subjectstable homotopy of spheres
dc.subjectclassifying space
dc.subjectfree permutative category
dc.subjectduality
dc.subjectgroup completion
dc.subjecttangles
dc.subject.ddc510 - Mathematik
dc.titleA category of pseudo-tangles with classifying space Ω∞ S∞ and applicationseng
dc.title.alternativeEine Kategorie aus Pseudo-Verschlingungen mit klassifizierendem Raum Ω∞ S∞ und Anwendungenger
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date1998-11-17T12:00:00Z-
elib.elibid8-
elib.marc.edtfangmeier-
elib.dct.accessRightsa-
elib.dct.created2000-07-20T12:58:58Z-
elib.dct.modified2000-09-08T17:09:16Z-
dc.contributor.refereeProf. Dr. Christian Kassel
dc.subject.msc55Q45eng
dc.subject.msc18D10eng
dc.subject.msc55R35eng
dc.subject.dnb27 - Mathematikger
vCard.ORGFB6ger
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