Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/10205
DC Field | Value | Language |
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dc.contributor.author | Kurilić, Miloš | en |
dc.date.accessioned | 2020-03-03T14:38:13Z | - |
dc.date.available | 2020-03-03T14:38:13Z | - |
dc.date.issued | 1998-01-01 | en |
dc.identifier.issn | 0016660X | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/10205 | - |
dc.description.abstract | In the article "Ultraproducts in topology" (General Topology Appl. 7 (1977) 283-308) Paul Bankston investigated ultraproducts of topological spaces (i.e., reduced box products of the form □ u X α , where u ⊂ P(κ) is an ultrafilter) and asked when the quotient map q : □X α → □ u X α is closed (Problem 10.3). We consider more general products-reduced products and prove (in ZFC) that if the X α 's belong to a wide class of spaces, then the mapping q is not closed. Also, we construct some nontrivial examples of ultraproducts such that the map q is closed and give an example of an ultraproduct such that the closeness of q is a statement independent of ZFC. © 1998 Elsevier Science B.V. | en |
dc.relation.ispartof | Topology and its Applications | en |
dc.title | Topological ultraproducts: When is the quotient mapping closed? | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.scopus | 2-s2.0-15944373987 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/15944373987 | en |
dc.relation.lastpage | 95 | en |
dc.relation.firstpage | 89 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 87 | en |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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