The cohomology of presheaves of algebras. I. Presheaves over a partially ordered set
نویسندگان
چکیده
منابع مشابه
Effect Algebras, Presheaves, Non-locality and Contextuality
Non-locality and contextuality are among the most counterintuitive aspects of quantum theory. They are difficult to study using classical logic and probability theory. In this paper we start with an effect algebraic approach to the study of non-locality and contextuality. We will see how different slices over the category of set valued functors on the natural numbers induce different settings i...
متن کاملInfinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
In the foundations of quantum mechanics and quantum computing, there is often a split between research using infinite dimensional structures and research using finite dimensional structures. On the one hand, in axiomatic quantum foundations there is often a focus on finite dimensional spaces and matrix mechanics (e.g. [1, 45, 23, 46, 5, 3, 8, 9, 10, 13, 27]), and the same is true for circuit ba...
متن کاملPresheaves of symmetric spectra
The main theorem of [4] say that there is a proper closed simplicial model category structure on the category Spt of symmetric spectra, and that the associated homotopy category Ho(Spt) is equivalent to the stable category. This paper shows how to generalize this result to the category PreSpt(C) of presheaves of symmetric spectra on an arbitrary small Grothendieck site C. The reader will observ...
متن کاملQuasi-varieties of presheaves
In analogy with the varietal case, we give an abstract characterization of those categories occurring as regular epireflective subcategories of presheaf categories such that the inclusion functor preserves small sums. MSC 2000 : 18A40, 18F20. The aim of this short note is to add one step to the nice parallelism between presheaf categories and algebraic categories. Presheaf categories can be abs...
متن کاملWeak Equivalences of Simplicial Presheaves
Weak equivalences of simplicial presheaves are usually defined in terms of sheaves of homotopy groups. We give another characterization using relative-homotopy-liftings, and develop the tools necessary to prove that this agrees with the usual definition. From our lifting criteria we are able to prove some foundational (but new) results about the local homotopy theory of simplicial presheaves.
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: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0965749-x