Mayer–Vietoris sequence for generating families in diffeological spaces

Categorical Join and Generating Families in Diffeological Spaces

“…One basic idea, that of generating families, seems to have not been fully exploited, as we show in our main Theorem 2. This kind of result has applications in Cartan calculus (see [7]).…”

“…As we pointed out in [7], this is not the cross diffeology on X induced by the manifold diffeology of R 2 .…”

Categorical Join and Generating Families in Diffeological Spaces

“…As we pointed out in [2], this is not the cross diffeology on X induced by the manifold diffeology of R 2 .…”

On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures

“…To be succinct, our presentation follows, roughly, the recent review [24]. Other relevant references for our specific needs are [8,9,20,[25][26][27][28][29][30][31][32]. Definition 2.…”