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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.
Appears in Collections:Ph.D Theses (Open)

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