Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/27416
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kurilić Miloš | - |
dc.contributor.author | Pavlović Aleksandar | - |
dc.contributor.other | Grulović Milan | - |
dc.contributor.other | Pilipović Stevan | - |
dc.contributor.other | Mijajlović Žarko | - |
dc.contributor.other | Kurilić Miloš | - |
dc.date.accessioned | 2020-12-13T21:55:41Z | - |
dc.date.available | 2020-12-13T21:55:41Z | - |
dc.date.issued | 2009-01-13 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/27416 | - |
dc.description.abstract | <p>A priori limit operator>. maps sequence of a set X into a subset of X.<br />There exists maximal topology on X such that for each sequence x there holds<br />>.(x) C limx. The space obtained in such way is always sequential.<br />If a priori limit operator each sequence x which satisfy lim sup x = lim inf x<br />maps into {lim sup x}, then we obtain the sequential topology Ts. If a priori 'limit<br />operator maps each sequence x into {lim sup x}, we obtain topology denoted by<br />aT. Properties of these topologies, in general, on class of Boolean algebras with<br />condition (Ii) and on class of weakly-distributive b-cc algebras are investigated.<br />Also, the relations between these classes and other classes of Boolean algebras are<br />considered.</p> | en |
dc.description.abstract | <p>A priori limit operator A svakom nizu elemenata skupa X dodeljuje neki<br />podskup skupa X. Tada na skupu X postoji maksimalna topologija takva da za<br />svaki niz x vazi A(X) c lim x. Tako dobijen prostor je uvek sekvencijalan.<br />Ako a priori limit operator svakom nizu x koji zadovoljava uslov lim sup x =<br />liminfx dodeljuje skup {limsupx} onda se, na gore opisan nacin, dobija tzv.<br />sekvencijalna topologija Ts. Ako a priori limit operator svakom nizu x dodeljuje<br />{lim sup x}, dobija se topologija oznacena sa OT. Ispitivane su osobine ovih<br />topologija, generalno, na klasi Bulovih algebri koje zadovoljavaju uslov (Ii) ina<br />klasi slabo-distributivnih i b-cc algebri, kao i odnosi ovih klasa prema drugim<br />klasama Bulovih algebri.</p> | sr |
dc.language.iso | en | - |
dc.publisher | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu | sr |
dc.publisher | University of Novi Sad, Faculty of Sciences at Novi Sad | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.subject | Boolean algebras, sequential spaces, Freshet spaces, sequential topology | en |
dc.subject | Bulove algebre, sekvencijalni prostori, Freseovi prostori, sekvencijalna topologija | sr |
dc.title | Sequential Topologies on Boolean Algebras | en |
dc.title | Sekvencijalne topologije na Bulovim algebrama | sr |
dc.type | Thesis | en |
dc.identifier.doi | 10.2298/NS20090113PAVLOVIC | - |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/DisertacijaPavlovic%20Aleksandar%20teza.pdf?controlNumber=(BISIS)73377&fileName=Pavlovic%20Aleksandar%20teza.pdf&id=1021&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=73377&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)73377 | - |
dc.source.institution | Prirodno-matematički fakultet u Novom Sadu | sr |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | https://orcid.org/0000-0001-5001-6869 | - |
crisitem.author.orcid | 0000-0001-5001-6869 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Teze/Theses |
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