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Timeline for Units of a ring spectrum

Current License: CC BY-SA 3.0

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Apr 5, 2014 at 2:14 comment added Peter May Whoa. Units were initially developed to study obstructions to orientability of bundles and fibrations, among other (and deeper) things, such as understanding F/Top as BO-{\otimes} as an infinite loop space away from 2. It was maybe 30 years later that we understood orientations in terms of understanding twists of parametrized spectra.
Apr 4, 2014 at 13:34 history edited Ricardo Andrade CC BY-SA 3.0
addded top level tag; replaced pdf link with link to abstract
Apr 4, 2014 at 7:14 comment added Eric Peterson My understanding is that constructing a sane notion of spectra of units sensitive to coconnective information is an interesting open problem. As spaces of units were initially developed to understand twists of spectra parametrized over a space, and as all spaces are themselves connective, this insensitivity wasn't initially considered to be an issue. Steffen Sagave has proposed a model for periodic $E_\infty$ ring spectra; maybe you'd enjoy reading about that. arxiv.org/abs/1111.6731
Apr 4, 2014 at 6:46 review First posts
Apr 4, 2014 at 7:34
Apr 4, 2014 at 6:23 history asked unit CC BY-SA 3.0