-
A survey on reflexivity of abelian topological groupsChasco, María Jesús ; Dikranjan, Dikran N., 1950- ; Martín-Peinador, ElenaThe Pontryagin duality theorem for locally compact abelian groups (briefly, LCA groups) has been the starting point for many different routes of research in Mathematics. From its appearance there was ... a big interest to extend it in a context broader than LCA groups. Kaplan in the 40's proposed - and it still remains open - the problem of characterization of all abelian topological groups for which the canonical mapping into its bidual is a topological isomorphism, assuming that the dual and the bidual carry the compact-open topology. Such groups are called reflexive. In this survey we deal with results on reflexivity of certain classes of groups, with special emphasis on the smaller class which better reflects the properties of LCA groups, namely that of strongly reflexive groups. A topological abelian group is said to be strongly reflexive if all its closed subgroups and its Hausdorff quotients as well as the closed subgroups and the Hausdorff quotients of its dual group are reflexive.Source: Algebra meets Topology : special issue on Dikran Dikranjan's 60th bithday (Str. 2290-2309)Type of material - conference contributionPublish date - 2012Language - englishCOBISS.SI-ID - 16288345
Author
Chasco, María Jesús |
Dikranjan, Dikran N., 1950- |
Martín-Peinador, Elena
Topics
matematika |
topološke grupe |
Potrjaginov izrek o dualnosti |
mathematics |
topological groups |
Pontryagin duality theorem |
reflexive group |
strongly reflexive group |
metrizable group |
Čech-complete group |
▫$\omega$▫-bounded group |
P-group
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
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 |
---|---|
Chasco, María Jesús | ![]() |
Dikranjan, Dikran N., 1950- | 28252 |
Martín-Peinador, Elena | ![]() |
Select pickup location:
Material pickup by post
Notification
Subject headings in COBISS General List of Subject Headings
Select pickup location
Pickup location | Material status | Reservation |
---|
Please wait a moment.