Download E-books Topologie algébrique: Chapitres 1 à 4 PDF

Ce livre des Éléments de mathématique est consacré à los angeles Topologie algébrique. Les quatre premiers chapitres présentent l. a. théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe elementé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et activities du groupe de Poincaré.

On démontre une model générale du théorème de van Kampen exprimant le groupoïde de Poincaré d'un espace topologique comme un coégalisateur de diagrammes de groupoïdes. Dans de nombreuses events géométriques, on en déduit une présentation explicite du groupe de Poincaré.

Show description

Read or Download Topologie algébrique: Chapitres 1 à 4 PDF

Similar Abstract books

Abstract Algebra With a Concrete Introduction

Summary Algebra with a Concrete advent

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

With enterprise foundations relationship merely from the Nineteen Fifties, algebraic topology is a comparatively younger quarter of arithmetic. There are only a few textbooks that deal with basic themes past a primary path, and plenty of subject matters now necessary to the sector are usually not handled in any textbook. J. Peter May’s A Concise path in Algebraic Topology addresses the normal first path fabric, resembling basic teams, overlaying areas, the fundamentals of homotopy thought, and homology and cohomology.

Group Theory II (Grundlehren Der Mathematischen Wissenschaften 248)

It is a translation from the japanese of the second one quantity (chapters 4 via six) of my publication "Gunron" (Iwanami Shoten, 1978). After discussing the idea that of commutators within the fourth bankruptcy, we tum to a dialogue of the equipment and theorems relating finite teams. The final bankruptcy is meant as an advent to the hot growth within the concept of straightforward teams.

Ordered Sets (Advances in Mathematics)

This special textbook offers loads of fabric on ordered units now not formerly released within the nonetheless particularly constrained textbook literature. it's going to be compatible as a textual content for a direction on order thought.

Extra resources for Topologie algébrique: Chapitres 1 à 4

Show sample text content

Rated 4.45 of 5 – based on 50 votes