Relative homological algebra and Waldhausen $K$-theory
نویسندگان
چکیده
منابع مشابه
Relative Homological Algebra, Waldhausen K-theory, and Quasi-frobenius Conditions
We study the question of the existence of a Waldhausen category on any (relative) abelian category in which the contractible objects are the (relatively) projective objects. The associated K-theory groups are “stable algebraic G-theory,” which in degree zero form a certain stable representation group. We prove both some existence and nonexistence results about such Waldhausen category structure...
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To do homological algebra with unbounded chain complexes one needs to first find a way of constructing resolutions. Spaltenstein solved this problem for chain complexes of R-modules by truncating further and further to the left, resolving the pieces, and gluing back the partial resolutions. Our aim is to give a homotopy theoretical interpretation of this procedure, which may be extended to a re...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2018
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2018.v20.n1.a7