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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, номер 2, страницы 41–59
(Mi basm287)
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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
Аннотация:
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.
Ключевые слова и фразы:
abstract Čech cohomology, abstract Čech homology, J-resolution, acyclic resolution.
Поступила в редакцию: 21.06.2011
Образец цитирования:
R. Miron, Gh. Pitiş, I. Pop, “On the abstract Čech cohomology”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2, 41–59
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm287 https://www.mathnet.ru/rus/basm/y2011/i2/p41
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