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

Department of Data Acquisition and Data Quality

Research output: Contribution to journal › Article › peer-review

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
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.04.033
Publication status	Published - 01 Nov 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)

Access to Document

10.1016/j.jmaa.2014.04.033

Cite this

@article{093eac49c613472fb41682fe97fd467d,

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",

month = nov,

day = "1",

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

language = "English",

volume = "419",

pages = "138--155",

journal = "Journal of Mathematical Analysis and Applications",

issn = "1096-0813",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - On the category of lattice-valued bornological vector spaces

AU - Paseka, Jan

AU - Solovyov, Sergey A.

AU - Stehlik, Milan

PY - 2014/11/1

Y1 - 2014/11/1

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

UR - https://www.scopus.com/pages/publications/84902384408

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

IS - 1

ER -

On the category of lattice-valued bornological vector spaces

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Model selection

Cite this

On the category of lattice-valued bornological vector spaces

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Projects

Model selection

Cite this