nLab Andreas Kriegl

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Selected writings

On $C^\infty$ algebras and functional analysis:

• G. Kainz, Andreas Kriegl, Peter Michor: $C^\infty$-algebras from the functional analytic view point, Journal of Pure and Applied Algebra 46 1 (1987) 89-107 [doi:10.1016/0022-4049(87)90045-4 pdf]

On differential geometry in terms of Frölicher spaces and diffeological spaces, in particular also on infinite-dimensional manifolds:

• Andreas Kriegl, Peter Michor: The Convenient Setting of Global Analysis: Mathematical Surveys and Monographs 53, American Mathematical Society (1997) [ISBN: 978-0-8218-0780-4, ams:surv-53, pdf]

Related entries

• module over a $C^\infty$-ring

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