Model category structures and spectral sequences
نویسندگان
چکیده
منابع مشابه
Determining Closed Model Category Structures
Closed model categories are a general framework introduced by Quillen [15] in which one can do homotopy theory. An alternative framework has been developed by Baues [2]. Putting a closed model structure on a category not only allows one to use techniques of homotopy theory to study it but also allows one to better understand the category through the concepts and constructions that come with the...
متن کاملMultiplicative Structures on Homotopy Spectral Sequences Ii
This short paper is a companion to [D1]. Here the main results of that paper are used to establish multiplicative structures on a few standard spectral sequences. The applications consist of (a) applying [D1, Theorem 6.1] to obtain a pairing of spectral sequences, and (b) identifying the pairing on the E1or E2-term with something familiar, like a pairing of singular cohomology groups. Most of t...
متن کاملFraïssé sequences: category-theoretic approach to universal homogeneous structures
We present a category-theoretic approach to universal homogeneous objects, with applications in the theory of Banach spaces and in set-theoretic topology. Disclaimer: This is only a draft, full of gaps and inaccuracies, put to the Math arXiv for the sake of reference. More complete versions are coming soon.
متن کاملSpectral Sequences from Sequences of Spectra: Towards the Spectrum of the Category of Spectra
As is well known, it is our manifest destiny as 21st century algebraic topologists to compute homotopy groups of spheres. This noble venture began even before the notion of homotopy was around. In 1931, Hopf was thinking about a map he had encountered in geometry from S to S and wondered whether or not it was essential. He proved that it was by considering the linking of the fibers. After Hurew...
متن کاملCategory Structures
This paper outlines a simple and general notion of syntactic category on a metatheoretical level, independent of the notations and substantive claims of any particular grammatical framework. We define a class of formal objects called "category structures" where each such object provides a constructive definition for a space of syntactic categories. A unification operation and subsumption and id...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2019
ISSN: 0308-2105,1473-7124
DOI: 10.1017/prm.2019.45