Diagram spaces, diagram spectra, and spectra of units

Details Diagram spaces, diagram spectra, and spectra of units Diagram spaces, diagram spectra, and spectra of units

2009-08-07

arxiv.org/abs/0908.1092v2

Mathematics

Algebraic Topology

53 pages. Sections 9 and 12 are reworked. Added an appendix on topological categories and homotopy colimits

Scientific paper

This article compares the infinite loop spaces associated to symmetric spectra, orthogonal spectra, and EKMM S-modules. Each of these categories of structured spectra has a corresponding category of structured spaces that receives the infinite loop space functor \Omega^\infty. We prove that these models for spaces are Quillen equivalent and that the infinite loop space functors \Omega^\infty agree. This comparison is then used to show that two different constructions of the spectrum of units gl_1 R of a commutative ring spectrum R agree.

Affiliated with

Also associated with

No associations

Rating

Diagram spaces, diagram spectra, and spectra of units does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diagram spaces, diagram spectra, and spectra of units, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diagram spaces, diagram spectra, and spectra of units will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153666