分野別セミナー

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.