Representable functor

Part 1 of ebook "Category theory for programmers" provides readers with contents including: category the essence of composition; categories great and small; simple algebraic data types; natural transformations; declarative programming; free monoids; representable functors; the yoneda lemma; yoneda embedding;...

270p tieulangtran 28-09-2023 4 1   Download

In the article, we see that the birational maps of degree d of the projective space Pn k form a locally closed subvariety of the projective space P(Sdn11), denoted Crd(n). In this paper, we will construct the notion of extended degree of rational maps, then we obtain the functor crd(n) that represents the variety Crd(n).

8p tamynhan9 02-12-2020 14 2   Download

Spectrum of a Ring, Fiber products, Schemes over fields, Local Properties of Schemes, Representable Functors, Separated morphisms, Finiteness Conditions, Affine and proper morphisms,... As the main contents of the Tài liệu Algebraic geometry 1. Invite you to consult.

621p daicatho1989 13-03-2016 59 5   Download

In this lecture, I’ll give a bit of an overview of what we will be doing this semester, and in particular how it will differ from 18.725. We will start in earnest with the rudiments of category theory in the next lecture. Hopefully document content to meet the needs of learning, work effectively.

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Invite you to consult the document content, "Algebraic Geometry I" below. Contents of the document referred to the content you: Prevarieties, Spectrum of a Ring, Fiber products, Schemes over fields, Local Properties of Schemes, Representable Functors, Separated morphisms,...

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The theory of Mackey functors has been developed during the last 25 years in a series of papers by various authors (J.a. Green [8], a. Dress [5], T. Yoshida [17], J. Th~venaz and P. Webb [13],[15],[14], G. Lewis [6]). It is an attempt to give a single framework for the different theories of representations of a finite group and its subgroups. The notion of Mackey functor for a group G can be essentially approached from three points of view: the first one ([8]), which I call "naive", relics on the poset of subgroups of G.

342p hotmoingay 03-01-2013 38 3   Download