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Fully admissible binary relations in topology
Published online by Cambridge University Press: 24 October 2008
Extract
A fully admissible binary relation (3) is an operator , other than the equality operator
and universal operator
, which assigns to each space |S, τ|, a reflexive, symmetric, binary relation
, and which is such that for any continuous mapping
implies
. With each such relation
, we associate a ‘separation axiom’
, as well as ‘
-regularity’ and ‘
-connectedness’, where
≡
-regularity + T0, and
-regularity +
-connectedness ≡ indiscreteness.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 2 , September 1977 , pp. 259 - 264
- Copyright
- Copyright © Cambridge Philosophical Society 1977