SOLOVJOVS, Sergejs. Characterization of a category for monoidal topology. Algebra Universalis. BASEL: SPRINGER BASEL AG, 2015, vol. 74, 3-4, p. 389-410. ISSN 0002-5240.
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Basic information
Original name Characterization of a category for monoidal topology
Authors SOLOVJOVS, Sergejs (428 Latvia, guarantor, belonging to the institution).
Edition Algebra Universalis, BASEL, SPRINGER BASEL AG, 2015, 0002-5240.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.344
RIV identification code RIV/00216224:14310/15:00095795
Organization unit Faculty of Science
UT WoS 000361534400013
Keywords in English affine set; frame; monad; monoidal topology; premetric space; preordered set; quantale; quantale module; Sierpinski object; topological category
Tags NZ, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Nicole Zrilić, učo 240776. Changed: 16/5/2018 10:14.
Abstract
This paper characterizes one of the categories for monoidal topology of M. M. Clementino, D. Hofmann, G. J. Seal, and W. Tholen in terms of the Sierpinski object of E. G. Manes. In particular, we describe the categories of preordered sets and premetric spaces (in the sense of F. W. Lawvere) in terms of modules over a quantale.
Links
EE2.3.20.0051, research and development projectName: Algebraické metody v kvantové logice
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