Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 2, Pages 41–59 (Mi basm287)  
On the abstract Čech cohomology

R. Mirona, Gh. Pitişb, I. Popa

a Faculty of Mathematics, "Al. I. Cuza" University, Iaşi, Romania
b Faculty of Mathematics and Informatics, "Transilvania" University, Braşov, Romania
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Abstract: The present Note is a survey of the authors' papers [11, 12, 14, 16–18], concerning the introduction and study of the notion of the abstract Čech cohomology, as well as its applications. Here we have investigated: projective systems, injective systems, covering of a directed partially ordered set, abstract Čech cohomology, abstract Čech homology, Čech cohomology space, simplicial projective systems, de Rham cohomology space of projective systems, J-resolution of a projective system and acyclic resolution.
Keywords and phrases: abstract Čech cohomology, abstract Čech homology, J-resolution, acyclic resolution.
Received: 21.06.2011
Bibliographic databases:
Document Type: Article
MSC: 55N05, 55T25, 55N35, 55N30, 18F20
Language: English
Citation: R. Miron, Gh. Pitiş, I. Pop, “On the abstract Čech cohomology”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2, 41–59
Citation in format AMSBIB
\Bibitem{MirPitPop11}
\by R.~Miron, Gh.~Piti{\c s}, I.~Pop
\paper On the abstract \v Cech cohomology
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2011
\issue 2
\pages 41--59
\mathnet{http://mi.mathnet.ru/basm287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2895776}
\zmath{https://zbmath.org/?q=an:06032559}
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