ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
On cardinal invariants and metrizability of topological inverse semigroups
Banakh, Taras, 1968- ; Bokalo, Bogdan
Let ▫$S$▫ be a topological inverse semigroup, ▫$E=\{xS: xx=x\}$▫ be the maximal semilattice in ▫$S$▫, and ▫$C=\{xS: xe=ex$▫ for every idempotent ▫$e\in E\}$▫ be the maximal Clifford semigroup of ...▫$S$▫. It is proven that a Lindelöf locally compact semigroup ▫$S$▫ is metrizable if and only if the maximal Clifford semigroup ▫$C$▫ is metrizable. We derive from this that a compact topological inverse semigroup $S$ is metrizable, provided the maximal semilattice ▫$E$▫ and all maximal groups of ▫$S$▫ are metrizable and one of the following conditions is satisfied: (1) (MA+▫$\neg$▫CH) holds; (2) ▫$E$▫ is a ▫$G_\delta$▫-set in the maximal Clifford semigroup ▫$C$▫ of ▫$S$▫; (3) ▫$E$▫ is a Lawson semilattice; (4) all maximal groups of ▫$C$▫ are Lie groups; (5) ▫$S$▫ is dyadic or scadic compact; (6) ▫$S$▫ is a fragmentable (or Rosenthal) monolithic compactum; (7) ▫$S$▫ is a Corson (or Rosenthal) compactum with countable spread.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
