On the abstract \v Cech cohomology
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 41-59
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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.
@article{BASM_2011_2_a3,
author = {R. Miron and Gh. Piti\c{s} and I. Pop},
title = {On the abstract \v {Cech} cohomology},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {41--59},
publisher = {mathdoc},
number = {2},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2011_2_a3/}
}
R. Miron; Gh. Pitiş; I. Pop. On the abstract \v Cech cohomology. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 41-59. http://geodesic.mathdoc.fr/item/BASM_2011_2_a3/