Hello Dfeldmann! Welcome to Wikipedia! Thank you for your contributions to this free encyclopedia. If you decide that you need help, check out Getting Help below, ask me on my talk page, or place {{helpme}} on your talk page and ask your question there. Please remember to sign your name on talk pages by clicking or using four tildes (~~~~); this will automatically produce your name and the date. Finally, please do your best to always fill in the edit summary field. Below are some useful links to facilitate your involvement. Happy editing! —EncMstr 17:55, 3 June 2007 (UTC)Reply Getting started Wikipedia tutorial • The five pillars of Wikipedia How to: edit a page • upload and use images Getting help Frequently asked questions • Tips Where to ask questions or make comments Request administrator attention Policies and guidelines Neutral point of view • No original research Verifiability • Reliable sources • Citing sources What Wikipedia is not • Biographies of living persons Manual of Style • Three-revert rule • Sock puppetry Copyrights • Fair use • Image use policy External links • Spam • Vandalism Deletion policy • Conflict of interest • Notability The community Build consensus • Resolve disputes Assume good faith • Civility • Etiquette No personal attacks • No legal threats Community Portal • Village pump Signpost • IRC channels • Mailing lists Writing articles Be bold in editing • Develop an article The perfect article • Manual of style Stubs • Categories • Disambiguation Pages needing attention • Peer review Miscellaneous User name • User pages • Talk pages Clean up: General - Spam - Vandalism Join a WikiProject • Translation Useful templates • Tools • User scripts

Salut, Denis. It seems no one has greeted you recently. Charles Matthews (talk) 17:07, 27 November 2009 (UTC)Reply

Bonjour,

J'aimerais beaucoup avoir la preuve de 2^ω=ω, en se basant sur la définition "de base" de l'exponentiation (celle qui passe par la définition de α^(β), et non par récurrence transfinie).
En effet, en reprenant la définition en question, 2^(ω) serait égal à l'ensemble des fonctions indicatrices de ω (les f:ω→{0,1}), qui ont un support fini. Cela ressemble beaucoup à l'ensemble des parties de ω !!

Probablement la nuance réside justement dans le fait que les fonctions de 2^(ω) sont à support fini, et j'aimerais donc beaucoup avoir des éclaircissements !
(Aussi, si l'explication réside justement dans la question de support fini, pourquoi l'exponentielle pour les ordinaux limite est-elle définie ainsi et non pas "comme" l'exponentielle pour les cardinaux ?)

En tout cas merci à vous et aux autres coéditeurs de l'article qui est vraiment excellent (bien supérieur à la version anglaise par exemple) !

Lajarre (talk) 15:57, 27 August 2012 (UTC)Reply

Hi Dfeldmann! We're so happy you wanted to play to learn, as a friendly and fun way to get into our community and mission. I think these links might be helpful to you as you get started.

• The Wikipedia Adventure Start Page
• The Wikipedia Adventure Lounge
• The Teahouse new editor help space
• Wikipedia Help pages

-- 20:31, Friday, September 18, 2015 (UTC)