On deformations of pasting diagrams, II

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dc.contributor.author Shrestha, Tej Bahadur
dc.contributor.author Yetter, David
dc.date.accessioned 2015-04-17T16:46:01Z
dc.date.available 2015-04-17T16:46:01Z
dc.date.issued 2014-06-01
dc.identifier.uri http://hdl.handle.net/2097/18937
dc.description.abstract We continue the development of the infinitesimal deformation theory of pasting diagrams of k-linear categories begun in TAC, Vol 22, #2. In that article the standard result that all obstructions are cocycles was established only for the elementary, composition-free parts of pasting diagrams. In the present work we give a proof for pasting diagrams in general. As tools we use the method developed by Shrestha of simultaneously representing formulas for obstructions, along with the corresponding cocycle and cobounding conditions by suitably labeled polygons, giving a rigorous exposition of the previously heuristic method; and deformations of pasting diagrams in which some cells are required to be deformed trivially. en_US
dc.language.iso en_US en_US
dc.relation.uri http://www.tac.mta.ca/tac/volumes/29/21/29-21abs.html en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Pasting diagrams en_US
dc.subject Pasting schemes en_US
dc.subject Deformation theory en_US
dc.title On deformations of pasting diagrams, II en_US
dc.type Article (publisher version) en_US
dc.date.published 2014 en_US
dc.citation.epage 608 en_US
dc.citation.issue 21 en_US
dc.citation.jtitle Theory and Applications of Categories en_US
dc.citation.spage 569 en_US
dc.citation.volume 29 en_US
dc.contributor.authoreid dyetter en_US


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