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On the algebraic foundations of bounded cohomology / Theo Bühler.
Math/Physics/Astronomy Library QA3 .A57 no.1006
Available
- Format:
- Book
- Author/Creator:
- Bühler, Theo, 1978-
- Series:
- Memoirs of the American Mathematical Society ; no. 1006.
- Memoirs of the American Mathematical Society, 0065-9266 ; no. 1006
- Language:
- English
- Subjects (All):
- Derived categories (Mathematics).
- Homology theory.
- Functions of bounded variation.
- Topological spaces.
- Physical Description:
- xxi, 97 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, R.I. : American Mathematical Society, 2011.
- Summary:
- Buhler (Swiss Federal Institute of Technology) constructs bounded cohomology as if it were the classical derived functor of the G-invariants. The article proves that the derived categories of right bounded and left bounded complexes of Banach G-modules are equivalent to the derived category of two abelian categories, a consequence of the theory of abstract truncation and hearts of t-structures. Appendices review mapping cone constructions and prove the existence of Bruhat functions. No index is provided. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)
- Notes:
- "November 2011, volume 214, number 1006 (second of 5 numbers)."
- Includes bibliographical references.
- ISBN:
- 9780821853115
- 0821853112
- OCLC:
- 747099224
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