AlgÃ¨bre et Topologie - Arbres, algÃ¨bres de Hopf et renormalisation - les mathÃ©matiques en gÃ©nÃ©ral et plus particuliÃ¨rement : topologie algÃ©brique, K-thÃ©orie, gÃ©omÃ©trie non commutative, algÃ¨bre homologique, homologie cyclique ( dvi ) , algÃ¨bres de Lie, combinatoire, algÃ¨bre homotopique, simplicial ( dvi ) , dualitÃ© de Koszul ( dvi ) , opÃ©rades ( dvi ) , algÃ¨bres Ã homotopie prÃ¨s ( dvi ) , algÃ¨bres de Leibniz ( dvi ) , digÃ¨bres ( dvi , the extensive article: Dialgebras ) , algÃ¨bre de Hopf, tresses, arbres, polytopes de Stasheff, permutoÃ¨dres.

<http://www-irma.u-strasbg.fr/~loday/>

MYCÃLIUM Vivien Lecomte

ThÃ©orie des Ensembles et Topologie gÃ©nÃ©rale

<http://www.multimania.com/orchis/>

PROBLÈMES - PROBLEMS

Set Theoretic Analysis Problems

<http://www.math.wvu.edu/homepages/kcies/STA/ProbLink.html>

EXEMPLES - EXAMPLES

Alexander's Horned Sphere

<http://www.math.sunysb.edu/~tony/archive/top/>

Die 'horned sphere'

<http://users.math.uni-potsdam.de/~oeitner/EIGENES/RAEUME/hornsph.htm>

Alexander's Horned Sphere

<http://lib4web.lib.msu.edu/crcmath/math/math/a/a112.htm>

The Mating Dance of the Alexander Horned Spheres

by Tim Poston

<http://www.math.ohio-state.edu/~fiedorow/math655/mating.html>

Jordan Curve Theorem and its Generalizations

Any continuous simple closed curve in the plane, separates the plane into two disjoint regions, the inside and the outside

<http://www.math.ohio-state.edu/~fiedorow/math655/Jordan.html>

Gallery Mathematical Surfaces

<http://www.uib.no/People/nfytn/mathgal.htm>

Number of different quasi-orders (or topologies, or transitive digraphs) with n labeled elements.

<http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=000798>

JAVA

Classification of Surfaces

Classification Theorem for Surfaces : Any closed connected surface is homeomorphic to exactly one of the following surfaces: a sphere, a finite connected sum of tori, or a sphere with a finite number of disjoint discs removed and with crosscaps glued in their place. The sphere and connected sums of tori are orientable surfaces, whereas surfaces with crosscaps are unorientable.

Jordan Curve Theorem for Surfaces : The maximum number of disjoint simple closed curves which can be cut from an orientable surface of genus g without disconnecting it is g. The maximum number of disjoint simple closed curves which can be cut from an unorientable surface of genus g without disconnecting it is g+1.

<http://www.math.ohio-state.edu/~fiedorow/math655/classification.html>

EDUCATION

The Topological Zoo

The Topological Zoo is designed a resource for mathematicians and educators. It is a visual dictionary of surfaces and other mathematical objects, consisting primarily of movies, still images and interactive pictures.

<http://www.geom.umn.edu/zoo/>

LIVRES - BOOKS

Cyclic Homology

Jean-Louis Loday

<http://www-irma.u-strasbg.fr/~loday/HCII_Contents.html>

Online Books and Lecture Notes in Mathematics

<http://www.gotmath.com/notes.html>

DOCUMENTS - PAPERS

MatÃ©riel en rapport avec le thÃ¨me : Topologie et Analyse

<http://perso.libertysurf.fr/mathslinker/L_to_f.htm>

Invited Contributions by Title

Topology Atlas

<http://at.yorku.ca/cgi-bin/list?st=0&en=90&lc=taic&sc=title&rv=1>

Geometry & Topology

<http://www.emis.ams.org/journals/UW/gt/index.html>

preprints - universitÃ© Hanovre

<http://www-ifm.math.uni-hannover.de/html/preprints.phtml>

JOURNAUX - LETTERS

Geometry & Topology

<http://www.emis.ams.org/journals/UW/gt/index.html>

COURS - COURSES

Algebraic Topology Allen Hatcher

Vector Bundles and K-Theory Spectral Sequences in Algebraic Topology 3-Manifolds Pictures: Stable homotopy groups of spheres Bianchi orbifolds

<http://www.math.cornell.edu/~hatcher/#ATI>

Topology

Elementary Topology, A First Course. Textbook in Problems O.Ya. Viro, O.A. Ivanov, V.M. Kharlamov and N.Y. Netsvetaev,

Algebraic Topology Allen Hatcher

<http://www.maths.lth.se/matematiklu/personal/sigma/Geometry-on-web.html>

Topology Course: Lecture Notes and Resources

<http://at.yorku.ca/topology/educ.htm>

Algebraic Geometry Seminar

Michael Harrison

<http://www.math.washington.edu/~harrison/ALG/alg.html>

differential geometry reconstructed: a unified systematic framework

Alan U. Kennington

<http://www.topology.org/tex/conc/dgstats.php?lang=fr>

TUTORIELS - TUTORIALS - TUTORS

Notes on Topology

Bruce Ikenaga

<http://www.millersv.edu/~bikenaga/topology/topnote.html>

QUESTIONS - POSTED

How Many Topologies on a Finite Set?

<http://www.math.niu.edu/~rusin/known-math/97/finite.top>

LIENS - LINKS

<liens_math.html>

Links to low-dimensional topology

<http://www.math.unl.edu/~mbritten/ldt/ldt.html>

Advertising : If you see a reference in one of the files that is not linked, and you know of a link address to the appropriate document, please send me mail, and I will include the link in the document. Thanks very much in advance.
Avertissement : Le classement par catégories est approximatif. Certains liens se retrouvent dans des rubriques différentes et sur plusieurs pages. Les commentaires sont généralement des courts extraits des pages référencées. Il est possible que certains liens nécessitent une mise à jour.
Tous commentaires ou remarques sont les bienvenus, vous pouvez les adresser à :
écrire

Les mises à jour demandées sont réalisées dès que possible et, sauf si c'est nécessaire, aucun message de réponse n'est expédié. Merci de m'écrire.

Copyright © 1999-2012 Jean-Paul Davalan - Reproduction interdite.