[图书][B] Rings, modules, and algebras in stable homotopy theory

AD Elmendorf - 1997 - books.google.com
This book introduces a new point-set level approach to stable homotopy theory that has
already had many applications and promises to have a lasting impact on the subject. Given …

Stable homotopical algebra and Γ-spaces

S Schwede - … Proceedings of the Cambridge Philosophical Society, 1999 - cambridge.org
In this paper we advertise the category of Γ-spaces as a convenient framework for doing
'algebra'over 'rings' in stable homotopy theory. Γ-spaces were introduced by Segal [Se] who …

[图书][B] Equivariant Orthogonal Spectra and -Modules

MA Mandell, JP May - 2002 - books.google.com
The last few years have seen a revolution in our understanding of the foundations of stable
homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy …

[图书][B] Axiomatic stable homotopy theory

M Hovey, JH Palmieri, NP Strickland - 1997 - books.google.com
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 …

Rational Homotopy Theory

K Hess - Interactions between Homotopy Theory and Algebra …, 2007 - books.google.com
Rational Homotopy Theory Page 190 http://dx. doi. org/10.1090/conm/436/08409 Contemporary
Mathematics Volume 436, 2007 Rational Homotopy Theory: A Brief Introduction Kathryn Hess …

Symmetric spectra

M Hovey, B Shipley, J Smith - Journal of the American Mathematical …, 2000 - ams.org
The stable homotopy category, much studied by algebraic topologists, is a closed symmetric
monoidal category. For many years, however, there has been no well-behaved closed …

[图书][B] Local homotopy theory

JF Jardine - 2015 - books.google.com
This monograph on the homotopy theory of topologized diagrams of spaces and spectra
gives an expert account of a subject at the foundation of motivic homotopy theory and the …

[图书][B] Stable homotopy theory

JF Adams, JF Adams - 1964 - Springer
There is a number of phenomena in homotopy theory which are independent of the precise
dimensions considered, provided that the dimensions are large enough. For example, π n+ …

The classification of triangulated subcategories

RW Thomason - Compositio Mathematica, 1997 - cambridge.org
The first main result of this paper is a bijective correspondence between the strictly full
triangulated subcategories dense in a given triangulated category and the subgroups of its …

[图书][B] Algebraic methods in unstable homotopy theory

J Neisendorfer - 2010 - books.google.com
The most modern and thorough treatment of unstable homotopy theory available. The focus
is on those methods from algebraic topology which are needed in the presentation of results …