The points of a compact regular locale L are characterized as the maximal regular subsets of any given fixed base of L (i.e. of any formal space representing L). The concept of maximality involved is formulated elementary and yields a first-order characterization of the points of such a locale. A similar result also holds for locally compact regular L. An application of these characterizations is considered in "On the collection of points of a formal space".
The points of (locally) compact regular formal topologies.
CURI, Giovanni
2001-01-01
Abstract
The points of a compact regular locale L are characterized as the maximal regular subsets of any given fixed base of L (i.e. of any formal space representing L). The concept of maximality involved is formulated elementary and yields a first-order characterization of the points of such a locale. A similar result also holds for locally compact regular L. An application of these characterizations is considered in "On the collection of points of a formal space".File in questo prodotto:
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