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Abstrakty
Real valued homomorphisms on the algebra of smooth functions on a differential space are described. The concept of generators of this algebra is emphasized in this description.
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Czasopismo
Rocznik
Tom
Strony
665--676
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
autor
- Faculty Of Mathematics And Information Science Warsaw University Of Technology Plac Politechniki 1 00-661 Warsaw, Poland, m.cukrowski@mini.pw.edu.pl
Bibliografia
- [1] E. Adam, P. Biström, A. Kriegl, Countably evaluating homomorphisms on real function algebras, Arch. Math. (Brno) 35(2) (1999), 165–192.
- [2] J. Arias-de-Reyna, A real valued homomorphism on algebras of differentiable functions, Proc. Amer. Math. Soc. 104 (1988), 1054–1058.
- [3] J. L. Blasco, Some problems on homomorphisms and real functions algebras, Monatsh. Math. 133 (2001), 89–92.
- [4] Z. Ercan, S. Onal, A remark on the homomorphism on C(X), Proc. Amer. Math. Soc. 133 (2005), 3609–3611.
- [5] M. Heller, Algebraic foundations of the theory of differential spaces, Demonstratio Math. 24(3-4) (1991), 349–364.
- [6] A. Kriegl, P. Michor, W. Schachermayer, Characters on algebras of smooth functions, Ann. Global Anal. Geom. 7(2) (1989), 85–92.
- [7] A. Kriegl, P. W. Michor, The convenient setting of global analysis, Mathematical Surveys and Monographs 53, Providence, RI, AMS, 1997.
- [8] A. Kriegl, P. W. Michor, More smoothly real compact spaces, Proc. Amer. Math. Soc. 117 (1993), 467–471.
- [9] J. A. Navarro Gonzalez, J. B. Sancho de Salas, C1-Differentiable Spaces, Lecture Notes in Math., Springer, 2003.
- [10] R. S. Palais, Real Algebraic Differential Topology, Washington, USA, Publish or Perish Inc., 1981.
- [11] L. E. Prusell, Comment: Homomorphism on C(R), Amer. Math. Monthly 94(7) (1987).
- [12] T. J. Ransford, Characters and point evaluations, Canad. Math. Bull. 38(2) (1995), 237–241.
- [13] R. Sikorski, Differential modules, Colloq. Math. 24 (1971), 45–79.
- [14] R. Sikorski, Introduction to the Differential Geometry, PWN Warsaw, (in polish), 1972.
- [15] W. Waliszewski, On differential subspaces of Cartesian space, Colloq. Math. 45 (1981), 257–265.
- [16] W. Waliszewski, Regular and coregular mappings of differential spaces, Ann. Polon. Math. 30 (1975), 263–291.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0015