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".
2001
9781402001529
compact and locally compact regular locales; maximality of filters
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/324111
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact