On the category of lattice-valued bornological vector spaces

Jan Paseka; Sergey A. Solovyov; Milan Stehlik

doi:10.1016/j.jmaa.2014.04.033

On the category of lattice-valued bornological vector spaces

Jan Paseka, Sergey A. Solovyov, Milan Stehlik

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Abstract

Motivated by the theory of L-bornological paces of M. Abel and A. Šostak 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.

Original language	English
Pages (from-to)	138-155
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	419
DOIs	https://doi.org/10.1016/j.jmaa.2014.04.033
Publication status	Published - 2014

Fields of science

101018 Statistics
101024 Probability theory
101029 Mathematical statistics
509 Other Social Sciences

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

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10.1016/j.jmaa.2014.04.033

Cite this

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title = "On the category of lattice-valued bornological vector spaces",

abstract = "Motivated by the theory of L-bornological paces of M. Abel and A. {\v S}ostak 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.",

author = "Jan Paseka and Solovyov, \{Sergey A.\} and Milan Stehlik",

year = "2014",

doi = "10.1016/j.jmaa.2014.04.033",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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AU - Paseka, Jan

AU - Solovyov, Sergey A.

AU - Stehlik, Milan

PY - 2014

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N2 - Motivated by the theory of L-bornological paces of M. Abel and A. Šostak 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.

AB - Motivated by the theory of L-bornological paces of M. Abel and A. Šostak 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.

UR - http://www.ifas.jku.at

U2 - 10.1016/j.jmaa.2014.04.033

DO - 10.1016/j.jmaa.2014.04.033

M3 - Article

SN - 1096-0813

VL - 419

SP - 138

EP - 155

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

On the category of lattice-valued bornological vector spaces

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On the category of lattice-valued bornological vector spaces

Abstract

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