2014
On the category of lattice-valued bornological vector spaces
PASEKA, Jan; Sergejs SOLOVJOVS and Milan STEHLIKBasic information
Original name
On the category of lattice-valued bornological vector spaces
Authors
PASEKA, Jan; Sergejs SOLOVJOVS and Milan STEHLIK
Edition
Journal of Mathematical Analysis and Applications, the Netherlands, Elsevier, 2014, 0022-247X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.120
RIV identification code
RIV/00216224:14310/14:00075707
Organization unit
Faculty of Science
UT WoS
000338482600011
EID Scopus
2-s2.0-84902384408
Keywords in English
Cartesian closed category; Continuous lattice; Hausdorff dimension; L-bornological space; L-bornological system; Topologically algebraic category; Vector space
Tags
International impact, Reviewed
Changed: 10/4/2015 13:55, Ing. Andrea Mikešková
Abstract
In the original language
Motivated by the theory of L-bornological spaces of M. Abel and A. Sostak over a complete lattice L, and the concept of topological system of S. Vickers, this paper introduces the categories of L-bornological vector spaces and systems, and shows that the former is isomorphic to a full reflective subcategory of the latter.
Links
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