Universality of multiplicative infinite loop space machines

The 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...

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...

Space Complexity in Infinite Time Turing Machines

Homology Operations on a New Infinite Loop Space

Boyer et al. [1] defined a new infinite loop space structure on the space Mq = fTn>i ^(Z> 2/i) such that the total Chern class map BU —► Mq is an infinite loop map. This is a sort of Riemann-Roch theorem without denominators: for example, it implies Fulton-MacPherson's theorem that the Chem classes of the direct image of a vector bundle E under a given finite covering map are determined by the ...

ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

‎In this work‎, ‎we investigate admitting center map on multiplicative metric space‎ ‎and establish some fixed point theorems for such maps‎. ‎We modify the Banach contraction principle and‎ ‎the Caristi's fixed point theorem for M-contraction admitting center maps and we prove some‎ ‎useful theorems‎. ‎Our results on multiplicative metric space improve and modify‎ ‎s...