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Axiomatic Stable Homotopy Theory

Mark HoveyJohn Harold PalmieriNeil P. Strickland

出版	American Mathematical Soc., 1997
主題	Mathematics / GeneralMathematics / Topology
ISBN	08218062469780821806241
URL	http://books.google.com.hk/books?id=_4PTCQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

We define and investigate a class of categories with formal properties similar to those of the homotopy category of spectra. This class includes suitable versions of the derived category of modules over a commutative ring, or of comodules over a commutative Hopf algebra, and is closed under Bousfield localization. We study various notions of smallness, questions about representability of (co)homology functors, and various kinds of localization. We prove theorems analogous to those of Hopkins and Smith about detection of nilpotence and classification of thick subcategories. We define the class of Noetherian stable homotopy categories, and investigate their special properties. Finally, we prove that a number of categories occurring in nature (including those mentioned above) satisfy our axioms.