Publicado
Informative gluing and collapsing of pre-orders
Pegamiento y colapso informativo de preordenes
DOI:
https://doi.org/10.15446/bol.mat.v31n1.122437Palabras clave:
compatibility, information, gluing, collapse (en)compatibilidad, información, pegamiento, colapso (es)
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Motivated by some mathematical instances of comparisons between structures or theories, we introduce notions of compatibility and informative morphisms between pre-orders. We analyze gluings and collapses between pre-orders, concerning information.
Motivados por algunas instancias matemáticas de comparaciones entre estructuras o teorías, introducimos nociones de compatibilidad y morfismos informativos entre preordenes. Analizamos pegamientos y colapsos entre preordenes, a nivel de información.
Referencias
[1] Alfredo Roque Freire, Estudo comparado do comprometimento ontológico das teorias de classes e conjuntos, Ph.D. thesis, University of Campinas, 2019.
[2] Alfredo Roque Freire and Joel David Hamkins, Bi-interpretation in weak set theories, Journal of Symbolic Logic 86 (2021), no. 2, 609-634.
[3] Richard Kaye and Tin Lok Wong, On interpretations of arithmetic and set theory, Notre Dame Journal of Formal Logic 48 (2007), no. 4, 497-510.
