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Abstrakty
In this paper we analyze the underlying topological space of a Sikorski CW-complex and the close relationship between Sikorski CW-complexes and Frolicher CW-complexes. Sikorski and Frolicher CW-complexes are analogues of CW-complexes in the categories of differential spaces (a la Sikorski) and Frolicher spaces relatively.
Wydawca
Czasopismo
Rocznik
Tom
Strony
207--221
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Department of Mathematics and Applied Mathematics, University of Pretoria, Mamelodi Campus, P.O. Box X311, Silverton 0127, Pretoria
Bibliografia
- [1] P. Cherenack, Applications of Frölicher spaces to cosmology, Ann. Univ. Sci. Budapest 41 (1998), 63-91.
- [2] P. Cherenack, Frölicher Versus Differential Spaces: A Prelude to Cosmology, G. Brümmer and C. Gilmour (eds), Papers in Honour of Bernhard Banaschewski, 2000 Kluwer Academic Publishers, Printed in the Netherlands.
- [3] P. Cherenack, Smooth Exponential Objects and Smooth Distributions, preprint downloadable on http://www.sun.ac.za/maths/cattop/output/default.html.
- [4] A. Frölicher and A. Kriegl, Linear Spaces and Differentiation Theory, Wiley-Interscience, 1971.
- [5] A. Kriegl and P. W. Michor, The Convenient Setting of Global Analysis, Mathematical Surveys and Monographs. Volume 53, American Mathematical Society, 1997.
- [6] S. Mac Lane, Categories for the Working Mathematician, Springer-Verlag, 1971.
- [7] P. Multarzynski and Z. Pasternak-Winiarski, Differential groups and their Lie algebras, Demonstratio Math 24 (1991), 515-537.
- [8] W. Sasin, Differential spaces and singularities in differential space-times, Demonstratio Math. 24 (1991), 601-63 4.
- [9] R. Sikorski, An Introduction to Differential Geometry, PWN, Warszawa 1972, (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0012-0022