Chapter 0 gives a gentle background to the thesis. It begins with some general notions and concepts from homological algebra. For example, not only are the notions of universal property and of… Expand

Mathematical Proceedings of the Cambridge Philosophical Society

1995

Abstract We study here the connections between the well known Puppe-Verdier notion of triangulated category and an abstract setting for homotopical algebra, based on homotopy kernels and cokernels,… Expand

We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Op- permann in (2). In particular, we introduce a higher "octahedral axiom", and show that it is equivalent… Expand

In this paper we consider a construction in an arbitrary triangulated category $${\fancyscript {T}}$$ which resembles the notion of a Moore spectrum in algebraic topology. Namely, given a compact… Expand

Abstract. Let T be a triangulated category and let X be an object of T. This paper studies the questions: Does there exist a triangulated functor G : D(ℤ) T with G(ℤ)≌X? Does there exist a… Expand

Let E be a Frobenius category. Let E denote its stable category. The shift functor on E induces, by pointwise application, an inner shift functor on the category of acyclic complexes with entries in… Expand