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dc.contributor.authorŽivaljević, Radeen_US
dc.date.accessioned2020-04-12T18:04:00Z-
dc.date.available2020-04-12T18:04:00Z-
dc.date.issued1987-01-01-
dc.identifier.issn0030-8730en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/316-
dc.description.abstractIn this note we investigate a cohomology theory H#(X, G), defined by M. C. McCord, which is dual to a homology theory based on hyperfinite chains of miscrosimplexes. We prove that if X is a locally contraction, paracompact space then H#(X, G) ≃ Hč#(X, Hom(*Z, G)) where Hč# is the Čech theory. Nonstandard analysis, particularly the Saturation Principle, is used in this proof in essential way to construct a fine resolution of the constant sheaf X × Hom(*Z, Z). This gives a partial answer to a question of McCord. Subsequently, we prove a proposition from which it is deduced that Hom(*Z, Z) = {0} i.e. H#(X, Z) = {0} if X is paracompact and locally contractible. At the end we briefly discuss a related cohomology theory which is obtained by application of the internal (rather than external) Hom(·, G) functor.en
dc.publisherMPS-
dc.relation.ispartofPacific Journal of Mathematicsen
dc.titleOn a cohomology theory based on hyperfinite sums of microsimplexesen_US
dc.typeArticleen_US
dc.identifier.doi10.2140/pjm.1987.128.201-
dc.identifier.scopus2-s2.0-84972571280-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage201en
dc.relation.lastpage208en
dc.relation.issue1en
dc.relation.volume128en
dc.description.rankM23-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0001-9801-8839-
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