| PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. Journal of Mathematical Analysis and Applications. the Netherlands: Elsevier, 2014, roč. 419, č. 1, s. 138-155. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.04.033. |
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@article{1185659,
author = {Paseka, Jan and Solovjovs, Sergejs and Stehlik, Milan},
article_location = {the Netherlands},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2014.04.033},
keywords = {Cartesian closed category; Continuous lattice; Hausdorff dimension; L-bornological space; L-bornological system; Topologically algebraic category; Vector space},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {On the category of lattice-valued bornological vector spaces},
volume = {419},
year = {2014}
}
TY - JOUR
ID - 1185659
AU - Paseka, Jan - Solovjovs, Sergejs - Stehlik, Milan
PY - 2014
TI - On the category of lattice-valued bornological vector spaces
JF - Journal of Mathematical Analysis and Applications
VL - 419
IS - 1
SP - 138-155
EP - 138-155
PB - Elsevier
SN - 0022247X
KW - Cartesian closed category
KW - Continuous lattice
KW - Hausdorff dimension
KW - L-bornological space
KW - L-bornological system
KW - Topologically algebraic category
KW - Vector space
N2 - 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.
ER -
PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. \textit{Journal of Mathematical Analysis and Applications}. the Netherlands: Elsevier, 2014, roč.~419, č.~1, s.~138-155. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.04.033.
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