Product preserving functors of infinite-dimensional manifolds

Andreas Kriegl; Peter W. Michor

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 4, page 289-306
  • ISSN: 0044-8753

Abstract

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The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of C ∞ -algebras.

How to cite

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Kriegl, Andreas, and Michor, Peter W.. "Product preserving functors of infinite-dimensional manifolds." Archivum Mathematicum 032.4 (1996): 289-306. <http://eudml.org/doc/18471>.

@article{Kriegl1996,
abstract = {The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of $C^\infty $-algebras.},
author = {Kriegl, Andreas, Michor, Peter W.},
journal = {Archivum Mathematicum},
keywords = {product preserving functors; convenient vector spaces; $C^\infty $-algebras; product preserving functors; convenient vector spaces; -algebras; Weil functor},
language = {eng},
number = {4},
pages = {289-306},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Product preserving functors of infinite-dimensional manifolds},
url = {http://eudml.org/doc/18471},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Kriegl, Andreas
AU - Michor, Peter W.
TI - Product preserving functors of infinite-dimensional manifolds
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 289
EP - 306
AB - The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of $C^\infty $-algebras.
LA - eng
KW - product preserving functors; convenient vector spaces; $C^\infty $-algebras; product preserving functors; convenient vector spaces; -algebras; Weil functor
UR - http://eudml.org/doc/18471
ER -

References

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  16. Models for smooth infinitesimal analysis, Springer-Verlag, Heidelberg Berlin, 1991. (1991) MR1083355
  17. Rings of smooth funcions and their localizations, I, J. Algebra 99 (1986), 324–336. (1986) MR0837547
  18. Prolongations of connections to bundles of infinitely near points, J. Diff. Geom. 11 (1976), 479–498. (1976) MR0445422
  19. Rings of smooth funcions and their localizations, II, Mathematical logic and theoretical computer science, D.W. Kueker, E.G.K. Lopez-Escobar, C.H. Smith (eds.), Marcel Dekker, New York, Basel, 1987. (1987) MR0930685
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