-
On cardinal invariants and metrizability of topological inverse Clifford semigroupsBanakh, Taras, 1968-Let ▫$S$▫ be a compact topological inverse Clifford semigroup such that the maximal semilattice ▫$E$▫ and all maximal groups of ▫$S$▫ are metrizable. We prove that ▫$S$▫ is first countable and has ... countable cellularity; moreover, ▫$S$▫ is metrizable, provided one of the following conditions is satisfied: (1) (MA+▫$\neg$▫CH) holds; (2) ▫$E$▫ is a ▫$G_\delta$▫-set in ▫$S$▫; (3) ▫$E$▫ is zero-dimensional; (4) ▫$E$▫ is a Lawson semilattice; (4) all maximal groups of ▫$S$▫ 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. Under CH two (separable and unseparable) compact non-metrizable topological inverse commutative semigroups with metrizable subsemilattices and subgroups are constructed. One of these semigroups is a first-countable ccc Corson compact space satisfying the properties (M), ▫$(*)$▫ and $(K_n)$ for all ▫$n\ge 2$▫ but failing ▫$(**)$▫.Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 128, iss. 1, 2003, str. 13-48)Vrsta gradiva - članek, sestavni delLeto - 2003Jezik - angleškiCOBISS.SI-ID - 15765593
Avtor
Banakh, Taras, 1968-
Teme
matematika |
topologija |
Liejeva grupa |
topološka polmreža |
Cliffordova polgrupa |
Lawsonova polmreža |
kardinalna invarianta |
metričnost |
Martinov aksiom |
Lusinova množica |
strogo pozitivna mera |
mathematics |
topology |
topological inverse Clifford semigroup |
topological semilattice |
Lawson semilattice |
cardinal invariant |
metrizability |
Lusin set |
fragmentable space |
monolithic space |
Rosenthal compactum |
Corson compactum |
strictly positive measure |
chain conditions
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Vnos na polico
Trajna povezava
- URL:
Faktor vpliva
Dostop do baze podatkov JCR je dovoljen samo uporabnikom iz Slovenije. Vaš trenutni IP-naslov ni na seznamu dovoljenih za dostop, zato je potrebna avtentikacija z ustreznim računom AAI.
Leto | Faktor vpliva | Izdaja | Kategorija | Razvrstitev | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Baze podatkov, v katerih je revija indeksirana
Ime baze podatkov | Področje | Leto |
---|
Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
---|---|
Banakh, Taras, 1968- | 31193 |
Izberite prevzemno mesto:
Prevzem gradiva po pošti
Obvestilo
Gesla v Splošnem geslovniku COBISS
Izbira mesta prevzema
Mesto prevzema | Status gradiva | Rezervacija |
---|
Prosimo, počakajte trenutek.