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dc.contributor.author
Menni, Matías
dc.date.available
2021-03-22T12:54:36Z
dc.date.issued
2019-09
dc.identifier.citation
Menni, Matías; Monic skeleta, Boundaries, Aufhebung, and the meaning of 'one-dimensionality'; Robert Rosebrugh; Theory And Applications Of Categories; 34; 25; 9-2019; 714-735
dc.identifier.uri
http://hdl.handle.net/11336/128722
dc.description.abstract
Let E be a topos. If l is a level of E with monic skeleta then it makes sense to consider the objects in E that have l-skeletal boundaries. In particular, if p : E o S is a pre-cohesive geometric morphism then its centre (that may be called level 0) has monic skeleta. Let level 1 be the Aufhebung of level 0. We show that if level 1 has monic skeleta then the quotients of 0-separated objects with 0-skeletal boundaries are 1-skeletal. We also prove that in several examples (such as the classifier of non-trivial Boolean algebras, simplicial sets and the classifier of strictly bipointed objects) every 1-skeletal object is of that form.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Robert Rosebrugh
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Topos Theory
dc.subject
Axiomatic Cohesion
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Monic skeleta, Boundaries, Aufhebung, and the meaning of 'one-dimensionality'
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-03-05T19:01:06Z
dc.identifier.eissn
1201-561X
dc.journal.volume
34
dc.journal.number
25
dc.journal.pagination
714-735
dc.journal.pais
Canadá
dc.description.fil
Fil: Menni, Matías. Universidad Nacional de La Plata. Facultad de Informática. Laboratorio de Investigación y Formación en Informática Avanzada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.journal.title
Theory And Applications Of Categories
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.tac.mta.ca/tac/volumes/34/25/34-25abs.html
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