Geometric applications of homotopy theory II by M.G. Barratt, M.E. Mahowald

By M.G. Barratt, M.E. Mahowald

A convention on geometric functions of homotopy thought together supported by way of the nationwide technological know-how origin and Northwestern collage was once held at Evanston March 21-26, 1977. those court cases include papers provided on the assembly and a few similar papers by way of mathematicians who attended the convention.

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Espaces vectoriels topologiques: Chapitres 1à 5 by N. Bourbaki

By N. Bourbaki

Espaces vectoriels topologiques

Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.

Ce livre est le cinquième du traité ; il est consacré aux bases de l’analyse fonctionnelle. Il contient en particulier le théorème de Hahn-Banach et le théorème de Banach-Steinhaus. Il comprend les chapitres :

  1. Espaces vectoriels topologiques sur un corps price ;
  2. Ensembles convexes et espaces localement convexes ;
  3. Espaces d’applications linéaires maintains ;
  4. La dualité dans les espaces vectoriels topologiques ;
  5. Espaces hilbertiens (théorie élémentaire).

Il contient également des notes historiques.

Ce quantity a été publié en 1981.

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The Hilton symposium, 1993: Topics in topology and group by Guido Mislin

By Guido Mislin

This quantity offers a cross-section of latest advancements in algebraic topology. the most component comprises survey articles appropriate for complex graduate scholars and execs pursuing study during this sector. an outstanding number of subject matters are coated, lots of that are of curiosity to researchers operating in different parts of arithmetic. additionally, a few of the articles hide subject matters in staff concept and homological algebra.

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Topological Properties of Spaces of Continuous Functions by Robert A. McCoy

By Robert A. McCoy

This publication brings jointly right into a basic environment quite a few innovations within the examine of the topological houses of areas of constant capabilities. the 2 significant periods of functionality house topologies studied are the set-open topologies and the uniform topologies. the place acceptable, the analogous theorems for the 2 significant periods of topologies are studied jointly, in order that a comparability might be made. A bankruptcy on cardinal features places characterizations of a couple of topological houses of functionality areas right into a extra basic environment: a few of these effects are new, others are generalizations of recognized theorems. Excercises are incorporated on the finish of every bankruptcy, masking different kinds of functionality house topologies. therefore the booklet can be acceptable to be used in a school room surroundings in addition to for useful research and common topology. the one history wanted is a few simple wisdom of normal topology.

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General Topology and Homotopy Theory by I.M. James

By I.M. James

Scholars of topology rightly whinge that a lot of the fundamental fabric within the topic can't simply be present in the literature, a minimum of no longer in a handy shape. during this publication i've got attempted to take a clean examine a few of this easy fabric and to arrange it in a coherent style. The textual content is as self-contained as i'll kind of make it and will be really available to somebody who has an straight forward wisdom of point-set topology and workforce concept. This publication is predicated on a process sixteen graduate lectures given at Oxford and in different places at times. In a process that size one can't speak about too many subject matters with out being unduly superficial. notwithstanding, this used to be by no means meant as a treatise at the topic yet relatively as a brief introductory direction for you to, i'm hoping, end up helpful to experts and non-specialists alike. The advent incorporates a description of the contents. No algebraic or differen­ tial topology is concerned, even supposing i've got borne in brain the wishes of scholars of these branches of the topic. workouts for the reader are scattered in the course of the textual content, whereas feedback for extra studying are inside the lists of references on the finish of every bankruptcy. often those lists comprise the most assets i've got drawn on, yet this isn't the kind of publication the place it really is doable to provide a reference for every little thing.

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