Open AccessNeighbourhood systems
Author(s) -
Tao Lü,
Wei He
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1708293l
Subject(s) - neighbourhood (mathematics) , mathematics , topological space , convergence (economics) , topology (electrical circuits) , pure mathematics , mathematical analysis , combinatorics , economic growth , economics
We introduce the concept of neighbourhood systems which are common generalizations of topological spaces, locales and topological systems. The category NS of neighbourhood systems has coproducts but does not have products. The relationship between convergence of filters on neighbourhood systems and convergence of filters on locales is investigated.