Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43799
Title: | Generating sublocales by subsets and relations: a tangle of adjunctions | Authors: | Moshier, M. Andrew Picado, Jorge Pultr, Aleš |
Issue Date: | 2017 | Publisher: | Springer | Project: | info:eu-repo/grantAgreement/FCT/5876/147205/PT | Serial title, monograph or event: | Algebra universalis | Volume: | 78 | Issue: | 1 | Abstract: | Generalizing the obvious representation of a subspace Y⊆X as a sublocale in Ω(X) by the congruence {(U,V)|U∩Y=V∩Y}, one obtains the congruence {(a,b)|o(a)∩S=o(b)∩S}, first with sublocales S of a frame L, which (as it is well known) produces back the sublocale S itself, and then with general subsets S⊆L. The relation of such S with the sublocale produced is studied (the result is not always the sublocale generated by S). Further, we discuss in general the associated adjunctions, in particular that between relations on L and subsets of L and view the aforementioned phenomena in this perspective. | URI: | https://hdl.handle.net/10316/43799 | DOI: | 10.1007/s00012-017-0446-z 10.1007/s00012-017-0446-z |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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15-00143 Picado.pdf | 339.95 kB | Adobe PDF | View/Open |
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