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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Dualidade Bitopológica para Reticulados Distributivose Álgebrasde Heyting

Santana, Emanuele Rose Romero de January 2012 (has links)
Submitted by Diogo Barreiros (diogo.barreiros@ufba.br) on 2016-06-14T14:54:41Z No. of bitstreams: 1 Dissertação - Emanuele Romero.pdf: 945237 bytes, checksum: cc06b7a0943c2fe576ba1ae1ef553446 (MD5) / Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2016-06-14T15:37:04Z (GMT) No. of bitstreams: 1 Dissertação - Emanuele Romero.pdf: 945237 bytes, checksum: cc06b7a0943c2fe576ba1ae1ef553446 (MD5) / Made available in DSpace on 2016-06-14T15:37:04Z (GMT). No. of bitstreams: 1 Dissertação - Emanuele Romero.pdf: 945237 bytes, checksum: cc06b7a0943c2fe576ba1ae1ef553446 (MD5) / CAPES / O presente trabalho tem como objetivo principal apresentar a equivalência dual entre a categoria DLat, dos reticulados distributivos, e as categorias Pries, dos espaços Priestley, e Spec, dos espaços espectrais, por meio dos isomor smos entre estas últimas e a categoria PStone, dos espaços pairwise Stone; também estabelecer a equivalência dual de DLat com PStone, obtendo com isso uma alternativa para o isomor smo de Cornish. Estes isomor smos e as equivalências duais entre as referidas categorias, possibilitaram as descrições duais de alguns conceitos algébricos importantes na Teoria de Reticulados, como ltros e ideais de um reticulado. Por m, como alternativa para a dualidade de Esakia, são apresentadas dualidades bitopológicas para álgebras de Heyting. / This work aims to present the duality between the categories DLat of the distributive bounded lattices, and the categories Pries of the Priestley spaces and Spec of the spectral spaces, using isomorphisms between the last mentioned categories and the category PStone of the pairwise Stone spaces; also we establish the equivalence of DLat and PStone, receiving so an alternative for the Cornish isomorphism. These isomorphisms and the equivalencies between the above mentioned categories, make it possible to get dual descriptions of some important lattice theoretic notions, as lters and ideals of a lattice. Finally, to propose an alternative to the Esakia duality are shown bitopological dualities for Heyting algebras.

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