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math.DG2010★ 1 cited
The space of ideals of C^\infty(M,R)
Lukáš Vokřínek
The paper is concerned with defining a topology on the set of ideals of codimension d of the algebra C^\infty(M,R) with M being a compact smooth manifold. Its main property is that…
math.DG2010
A generalization of Thom's transversality theorem
Lukáš Vokřínek
We prove a generalization of Thom's transversality theorem. It gives conditions under which the jet map $f_*|_Y:Y\subseteq J^r(D,M)\ra J^r(D,N)$ is generically (for $f:M\ra N$) tra…