منابع مشابه
Infinite Loop Space Theory Revisited
Just over two years ago I wrote a summary of infinite loop space theory [37]. At the time, there seemed to be a lull in activity, with little immediately promising work in progress. As it turns out, there has been so much done in the interim that an update of the summary may be useful. The initial survey was divided into four chapters, dealing with additive infinite loop space theory, multiplic...
متن کاملThe Uniqueness of Infinite Loop Space Machines
AN INFINITE loop space machine is a functor which constructs spectra out of simpler space level data. There are many such machines known[ 14,8,151. They differ somewhat in the data they accept. Worse, they are given by such widely disparate topological constructions that it is far from obvious that they turn our equivalent spectra when fed the same data. The purpose of this paper is to prove th...
متن کامل2 3 M ar 2 00 4 RINGS , MODULES , AND ALGEBRAS IN INFINITE LOOP SPACE THEORY
We give a new construction of the algebraic K-theory of small permutative categories that preserves multiplicative structure, and therefore allows us to give a unified treatment of rings, modules, and algebras in both the input and output. This requires us to define multiplicative structure on the category of small permutative categories. The framework we use is the concept of multicategory, a ...
متن کاملStringy Bundles and Infinite Loop Space Theory J.m.gomez, P. Hu and I. Kriz
To compare the definition of a spectrum E in this note with the construction of [4], one major difference is the use of the infinite loop space machine [3]. In [4], no infinite loop space machine was in sight, and because of that, an “Ersatz” construction of taking the suspension spectrum and inverting a suitable element was considered. Also, we relate the notions involved to more familiar math...
متن کاملControl Theory on the Infinite Dimensional Space
The theory of H-spaces and the H control theory on finite dimensional spaces have been summarized by C. G. Hu and C. C. Yang (Hu and Yang, 1992), and B. A. Francis and J. C. Doyle ((Francis, 1987), (Francis and Doyle, 1987)) respectively. In 1993, B. V. Keulen extended the H control theory on finite dimensional spaces to range in the infinite dimensional Hilbert space (Keulen, 1993). In 2002, C...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1982
ISSN: 0022-4049
DOI: 10.1016/0022-4049(82)90029-9