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|Title:||Homological Functors with Coefficients||Authors:||NG E-JAY||Keywords:||K-theory, homotopy theory, homological algebra||Issue Date:||1-Feb-2011||Citation:||NG E-JAY (2011-02-01). Homological Functors with Coefficients. ScholarBank@NUS Repository.||Abstract:||In this thesis, a framework is provided for defining homological functors with coefficients that can be applied to many examples including the usual homotopy and homology functors from algebraic topology, and the K-theory functors. Functors with coefficients in a column-finite matrix of nonnegative integers is first defined, followed by functors with coefficients in an abelian group. From our definition we can obtain a universal coefficient theorem. Categories with a symmetric tensor product structure are also considered.||URI:||http://scholarbank.nus.edu.sg/handle/10635/25804|
|Appears in Collections:||Ph.D Theses (Open)|
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