# Download e-book for kindle: Les Fondements de la géométrie by Jacqueline Lelong-Ferrand By Jacqueline Lelong-Ferrand

ISBN-10: 2130388515

ISBN-13: 9782130388517

Approche axiomatique de l. a. géométrie
* through los angeles constitution vectorielle
* comme constitution d'incidence (à l. a. façon de Veblen & younger)

Read or Download Les Fondements de la géométrie PDF

Similar geometry and topology books

Mirrors, Prisms and Lenses. A Textbook of Geometrical Optics - download pdf or read online

The outgrowth of a process lectures on optics given in Columbia collage. .. In a undeniable feel it can be regarded as an abridgment of my treatise at the rules and strategies of geometrical optics

Gabor Toth's Glimpses of Algebra and Geometry, Second Edition PDF

Past version offered 2000 copies in three years; Explores the delicate connections among quantity idea, Classical Geometry and smooth Algebra; Over a hundred and eighty illustrations, in addition to textual content and Maple records, can be found through the internet facilitate realizing: http://mathsgi01. rutgers. edu/cgi-bin/wrap/gtoth/; includes an insert with 4-color illustrations; contains various examples and worked-out difficulties

Extra resources for Les Fondements de la géométrie

Example text

Thus we IS] TOPOLOGY OF EUCLIDEAN PLANE 23 can apply Zorn’s lemma on d to get a maximal element A,, which is the maximal set having the property P. Hausdorffs lemma j Zermelo’s axiom. Let d be a collection of non-empty sets. We denote by 2 the set of the pairs (A, a ) where A is an element of d and a is an element of A. , for every (A, a ) E Y and (A’, a ’ )E Y , A = A’ implies a = a’. Then P is clearly a finite property. Therefore by use of Hausdorff’s lemma we can find a maximal subset Lf,, of Lf having the property P.

We mean by a set sequence a sequence A,, A,, . . of non-empty subsets of E 2 such that The set sequence {A,, 1 n = 1, 2 , . } is said to converge to a point p if for every E > 0 there exists an n for which A, C S , ( p ) . We take a point p,, E A,, from each member, A,,, of the set sequence. Then we obtain a point sequence {p,,} which is called a point sequence derived from {A,}. We can easily show that the set sequence {A,,}converges to p if and only if every point sequence derived from {A,} converges to p.

Nexandroff is highly recommended to the reader as a historical survey of the modern development in general topology. See his paper [ S ] too, for recent developments. 24 INTRODUCTION [IS As is well known, the concept of convergence of a point sequence is very significant in E’, especially in analysis of E 2 . We may say it is fundamental in the study of E 2 . This concept is closely related with such other concepts as neighborhood, closure, open set, etc. as seen in the following. e. S , ( p ) is often called the &-neighborhood of p.

Download PDF sample

### Les Fondements de la géométrie by Jacqueline Lelong-Ferrand

by Kevin
4.3

Rated 4.36 of 5 – based on 24 votes admin