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math.FA1992
More smoothly real compact spaces
Andreas Kriegl, Peter W. Michor
A topological space is called $\Cal A$-real compact, if every algebra homomorphism from $\Cal A$ to the reals is an evaluation at some point of , where $\Cal A$ is an algebr…
math.DG1992
Aspects of the theory of infinite dimensional manifolds
Andreas Kriegl, Peter W. Michor
The convenient setting for smooth mappings, holomorphic mappings, and real analytic mappings in infinite dimension is sketched. Infinite dimensional manifolds are discussed with sp…
math.FA1992
A convenient setting for real analytic mappings
Andreas Kriegl, Peter W. Michor
We present here "the" cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces. A mapping is real anal…