Diagram spaces and symmetric spectra
نویسندگان
چکیده
منابع مشابه
Diagram Spaces, Diagram Spectra, and Fsp’s
This is one of several papers in which we explore the interrelationships among certain categories that can be taken as models for spectra and (highly structured) ring spectra. In this paper, we study certain categories of “diagram ring spectra” that are isomorphic to corresponding categories of “functors with smash product (FSP’s)”. The notion of an FSP was introduced by Bökstedt [2], and his u...
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Some of the research surveyed here was supported by the Mathematical Sciences Research Institute in Berkeley, CA. Research at MSRI is supported in part by NSF grant DMS-9022140. We survey what is known about spectra of combinatorial Laplacians (or adjacency operators) of graphs on the simplest finite symmetric spaces. This work is joint with J. Angel, N. Celniker, A. Medrano, P. Myers, S. Poulo...
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Introduction 150 Organization 152 Acknowledgments 152 1. Symmetric spectra 153 1.1. Simplicial sets 153 1.2. Symmetric spectra 154 1.3. Simplicial structure on Sp 156 1.4. Symmetric Ω-spectra 158 2. The smash product of symmetric spectra 159 2.1. Symmetric sequences 159 2.2. Symmetric spectra 162 2.3. The ordinary category of spectra 165 3. Stable homotopy theory of symmetric spectra 165 3.1. S...
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1. Preliminaries about topological model categories 5 2. Preliminaries about equivalences of model categories 9 3. The level model structure on D-spaces 10 4. Preliminaries about π∗-isomorphisms of prespectra 14 5. Stable weak equivalences of D-spectra 18 6. The stable model structure on D-spectra 23 7. Comparisons among P , ΣS , IS , and W T 27 8. Model categories of ring and module spectra 30...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2012
ISSN: 0001-8708
DOI: 10.1016/j.aim.2012.07.013