ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Forcing hereditarily separable compact-like group topologies on Abelian groups
Dikranjan, Dikran N., 1950- ; Shakhmatov, Dmitri
Let ▫$\mathcal{C}$▫ denote the cardinality of the continuum. Using forcing we produce a modelof ZFC + CH with ▫$2^{\mathcal{C}}$▫ "arbitrarily large" and, in this model, obtain a characterization of ...the Abelian groups ▫$G$▫ (necessarily of size at most ▫$2^{\mathcal{C}}$▫) which admit: (i) a hereditarily separable group topology, (ii) a group topology making ▫$G$▫ into an ▫$S$▫-space, (iii) a hereditarily separable group topology that is either precompact, or pseudocompact, or countably compact (and which can be made to contain no infinite compact subsets), (iv) a group topology making ▫$G$▫ into an ▫$S$▫-space that is either precompact, or pseudocompact, or countably compact (and which also can be made without infinite compact subsets if necessary). As a by-product, we completely describe the algebraic structure of the Abelian groups of size at most ▫$2^{\mathcal{C}}$▫ which possess, at least consistently, a countably compact group topology (without infinite compact subsets, if desired). We also put to rest a 1980 problem of van Douwen about the cofinality of the size of countably compact Abelian groups.
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.
