Download E-books A1-Algebraic Topology over a Field (Lecture Notes in Mathematics, Vol. 2052) PDF

By Fabien Morel

This article bargains with A1-homotopy thought over a base box, i.e., with the typical homotopy thought linked to the class of delicate types over a box during which the affine line is imposed to be contractible. it's a normal sequel to the foundational paper on A1-homotopy idea written including V. Voevodsky. encouraged by way of classical leads to algebraic topology, we current new concepts, new effects and functions concerning the houses and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, in addition to to algebraic vector bundles over affine delicate types.

Show description

Read Online or Download A1-Algebraic Topology over a Field (Lecture Notes in Mathematics, Vol. 2052) PDF

Similar Abstract books

Introduction to Local Spectral Theory

Sleek neighborhood spectral conception is outfitted at the classical spectral theorem, a primary lead to single-operator idea and Hilbert areas. This booklet presents an in-depth advent to the average enlargement of this attention-grabbing subject of Banach area operator idea. It supplies whole insurance of the sector, together with the basic fresh paintings via Albrecht and Eschmeier which supplies the total duality conception for Banach area operators.

More Concise Algebraic Topology: Localization, Completion, and Model Categories (Chicago Lectures in Mathematics)

With company foundations courting purely from the Fifties, algebraic topology is a comparatively younger quarter of arithmetic. There are only a few textbooks that deal with primary issues past a primary path, and lots of subject matters now necessary to the sector aren't handled in any textbook. J. Peter May’s A Concise path in Algebraic Topology addresses the normal first direction fabric, equivalent to primary teams, overlaying areas, the fundamentals of homotopy idea, and homology and cohomology.

Lie Groups: An Approach through Invariants and Representations (Universitext)

Lie teams has been an expanding zone of concentration and wealthy examine because the heart of the twentieth century. In Lie teams: An method via Invariants and Representations, the author's masterful method offers the reader a finished therapy of the classical Lie groups besides an in depth advent to quite a lot of subject matters linked to Lie teams: symmetric services, idea of algebraic varieties, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic teams, staff representations, invariants, Hilbert conception, and binary varieties with fields starting from natural algebra to sensible research.

Topological Methods in Group Theory (Graduate Texts in Mathematics)

This e-book is set the interaction among algebraic topology and the idea of endless discrete teams. it's a highly vital contribution to the sphere of topological and geometric staff thought, and is certain to turn into a customary reference within the box. to maintain the size moderate and the point of interest transparent, the writer assumes the reader is familiar with or can simply study the required algebra, yet desires to see the topology performed intimately.

Additional resources for A1-Algebraic Topology over a Field (Lecture Notes in Mathematics, Vol. 2052)

Show sample text content

Rated 4.21 of 5 – based on 13 votes