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Seminars

de Rham theory on diffeological spaces

Hold Date
2015-01-30 16:00〜2015-01-30 16:40
Place
Seminar Room 1, Faculty of Mathematics building, Ito Campus
Object person
 
Speaker
Nobuyuki IZUMIDA (Kyushu university)

Abstract:
Differentiable spaces and differentiable maps are invented by K.T.Chen in his study of iterated integrals and reformulated by J-M Souriau and other mathematitians such as P.Iglesias-Zemmour as Diffeological spaces and smooth maps. In this seminar, I define differential forms with compact support and a partition of unity belonging to an open covering of a diffeological spaces. Using these ideas, I prove the exactness of Mayer-Vietoris sequence associated to an open covering of a diffeological space under a suitable condition.