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" Topological methods in group theory / "
Ross Geoghegan
Document Type
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BL
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Record Number
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655580
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Doc. No
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dltt
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Main Entry
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Geoghegan, Ross,1963-
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Title & Author
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Topological methods in group theory /\ Ross Geoghegan
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Series Statement
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Graduate texts in mathematics ;
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Page. NO
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xiv, 473 pages :: illustrations ;; 25 cm
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ISBN
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9780387746111
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: 0387746110
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Bibliographies/Indexes
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Includes bibliographical references (pages [453]-461) and index
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Contents
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CW complexes and homotopy -- Cellular homology -- Fundamental group and tietze transformations -- Some techniques in homotopy theory -- Elementary geometric topology -- The borel construction and Bass-Serre theory -- Topological finiteness properties and dimension of groups -- Homological finiteness properties of groups -- Finiteness properties of some important groups -- Locally finite CW complexes and proper homotopy -- Locally finite homology -- Cohomology of CW complexes -- Cohomology of groups and ends of covering spaces -- Filtered ends of pairs of groups -- Poincaré duality in manifolds and groups -- The fundamental group at infinity -- Higher homotopy theory of groups -- Three essays
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Subject
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Group theory
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Subject
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Discrete groups
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Subject
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Algebraic topology
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Subject
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Topological manifolds
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Dewey Classification
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512.2
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LC Classification
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QA174.2.G46 2008
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