Detail publikace

Categorical foundations of variety-based bornology

Paseka Jan, Solovjovs Sergejs

Anglický název

Categorical foundations of variety-based bornology

Typ

Článek WoS

Jazyk

en

Originální abstrakt

Following the concept of topological theory of S.E. Rodabaugh, this paper introduces a new approach to (lattice-valued) bornology, which is based in bornological theories, and which is called variety-based bornology. In particular, motivated by the notion of topological system of S. Vickers, we introduce the concept of variety-based bornological system, and show that the category of variety-based bornological spaces is isomorphic to a full reflective subcategory of the category of variety-based bornological systems.

Klíčová slova anglicky

Bornological space; Bornological system; Bornological theory; Ideal; Powerset theory; Reflective subcategory; System spatialization procedure; Topological category; Variety of algebras

Vydáno

2016-05-01

Nakladatel

ELSEVIER SCIENCE BV

Místo

NETHERLANDS

ISSN

0165-0114

Ročník

291

Číslo

1

Strany od–do

132–143

Počet stran

11

BIBTEX


@article{BUT126462,
  author="Sergejs {Solovjovs}",
  title="Categorical foundations of variety-based bornology",
  journal="FUZZY SETS AND SYSTEMS",
  year="2016",
  volume="291",
  number="1",
  pages="132--143",
  doi="10.1016/j.fss.2015.07.011",
  issn="0165-0114"
}