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Homology of analytic sheaves and duality theorems

Author: V D Golovin
Publisher: New York : Consultants Bureau, ©1989.
Series: Contemporary Soviet mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Translation (from the Russian) of a monograph in which the author provides experts in homological algebra and the theory of topological vector spaces with a systematic and detailed account of results  Read more...

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Additional Physical Format: Online version:
Golovin, V.D. (Viktor Dmitrievich).
Homology of analytic sheaves and duality theorems.
New York : Consultants Bureau, ©1989
(OCoLC)752444361
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V D Golovin
ISBN: 0306110245 9780306110245
OCLC Number: 19125654
Notes: Translation of: Gomologii analiticheskikh puchkov i teoremy dvoĭstvennosti.
Description: viii, 210 pages : illustrations ; 23 cm.
Contents: 1. Analytic Sheaves.- 1. Preliminary Information.- 2. Injectivity Test.- 3. Local Duality.- 4. Injective and Global Dimension.- 5. Properties of Fine Sheaves.- 2. Homology Theory.- 1. Sheaves of Germs of Homology.- 2. Homology Groups.- 3. Connection with the Functors Ext.- 4. Poincare Duality.- 5. Dualizing Complexes.- 3. Duality Theorems.- 1. Homology of Coverings.- 2. Cohomology with Arbitrary Supports.- 3. Cohomology with Compact Supports.- 4. Holomorphically Complete Spaces.- 5. Leray Spectral Sequence.- 4. Local Homology.- 1. Homology of a Closed Set.- 2. Local Homology.- 3. Duality Theorems.- 4. Inductive and Projective Limits.- 5. Tests for Separatedness.- 5. Applications.- 1. Dimension of Support.- 2. Homological Codimension.- 3. The Results of Andreotti-Grauert.- 4. Lefschetz Theorem.- 5. Theory of Hyperfunctions.- Notes.- References.
Series Title: Contemporary Soviet mathematics.
Other Titles: Gomologii analiticheskikh puchkov i teoremy dvoĭstvennosti.
Responsibility: V.D. Golovin ; translated from Russian by Norman Stein.
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