Premium
K‐Structures and Topology
Author(s) -
HODEL R. E.
Publication year - 1994
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1994.tb44133.x
Subject(s) - closure (psychology) , topological space , mathematical proof , mathematics , topology (electrical circuits) , connection (principal bundle) , space (punctuation) , set (abstract data type) , t1 space , compact open topology , pure mathematics , weak topology (polar topology) , discrete mathematics , general topology , topological vector space , computer science , topological tensor product , extension topology , combinatorics , functional analysis , zero dimensional space , geometry , biochemistry , chemistry , operating system , market economy , programming language , economics , gene
K‐structures allow one to give purely set‐theoretic proofs of a number of important inequalities in cardinal functions. We explore the precise relationship between K‐structures, closure spaces in the sense of Čech, spaces with the weak topology in the sense of Arhangelskiǐ, and topological spaces. We also introduce the notion of a basic proximity space and establish the connection between K‐structures and basic proximity spaces.