Woodruff: Compactifications and function algebras

Woodruff, David S.:
Compactifications and function algebras
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 63 (1977), fasc. n.1-2, p. 45-51, (English)
pdf (439 Kb), djvu (216 Kb). | Zbl 0427.54014

Sunto

Si costruiscono compattificazioni di uno spazio X usando certe sottigliezze di funzioni su X (le cosiddette algebre di stone complete) che sono valutate in un campo completo separato uniforme k. In tal modo si generalizzano le compattificazioni introdotte da altri autori.

Referenze Bibliografiche

[1] G. BACHMAN, E. BECKENSTEIN, L. NARICI and S. WARNER (1975) - Rings of Continuous Functions with Values in a Topological Field, «Trans. A.M.S.», 204, 91-112. | fulltext (doi) | MR 402687 | Zbl 0299.54016

[2] J. BERENBOM (1973) - Topological Algebras over Valued Fields. Dissertation, Polytechnic Institute of New York. | MR 2623181

[3] N. BOURBAKI (1972) - 1) Commutative Algebra, Addison Wesley, Reading Mass.; (1961) - 2) General Topology, Part 1, Addison Wesley, Reading; (1966) - 3) General Topology, Part 2, Addison Wesley, Reading. | MR 205211

[4] J. DUGUNDJI (1966) - Topology, Allyn and Bacon, Boston. | MR 193606

[5] O. FRINK (1964) - Compactifications and Semi-Normal Spaces, «Amer. J.Math.», 86, 602-607. | fulltext (doi) | MR 166755 | Zbl 0129.38101

[6] GELFAND, RAIKOV and SHILOV (1964) - Commutative Normed Rings, Chelsea Pub. Co.. | MR 205105

[7] L. GlLLMAN and M. JERISON (1960) - Rings of Continuous Functions, D. Van Nostrand, Princeton. | MR 116199

[8] H. GORDON (1970) - Compactifications by Means of Generalized Ultrafilters, «Ann. Mat. Pura. Appl.», 86 (4), 15-23. | fulltext (doi) | MR 270339

[9] J. C. HOLLADAY (1957) - A Note on the Stone-Weierstrass Theorem for Quaternions, «Proc. A.M.S.», 8, 656-657. | fulltext (doi) | MR 87047 | Zbl 0077.10501

[10] I. KAPLANSKY - Topological Methods in Valuation Theory, «Duke Math. Jour.», 14, 527-541. | MR 22210 | Zbl 0030.01004

[11] J. L. KELLY (1955) - General Topology, D. Van Nostrand, Princeton. | MR 70144

[12] S. MROWKA (1973) $\beta$-Like Compactifications, «Acta. Math. Acad. Sci. Hung.», 24, 279-287. | fulltext (doi) | MR 341407 | Zbl 0273.54015

[13] K. NAGAMI (1970) - Dimension Theory, Academic Press., N. Y.. | MR 271918 | Zbl 0224.54060

[14] L. NARICI, E. BECKENSTEIN and G. BACHMAN (1971) - Functional Analysis and Valuation Theory, Marcel Dekker, N. Y.. | MR 361697 | Zbl 0218.46004

[15] C. E. RICKART (1960) - General Theory of Banach Algebras, D. Van Nostrand, Princeton. | MR 115101 | Zbl 0095.09702

[16] Z. SEMADENI (1971) - Banach Spaces of Continuous Functions, Paristowowe Wydawnictwo Naukowe, Warsaw.

[17] A. SULTAN (1975) - Lattice Realcompactifications, «Ann. Math. Pura. Appl.», 106, 293-303. | fulltext (doi) | MR 410675 | Zbl 0317.54031

[18] W. THRON, (1966) - Topological Structures, Holt Rinehart and Winston, N. Y.. | MR 200892

[19] S. WARNER - Ulaml's Measures Problem, Lecture notes on algebras of continuous functions, Reade College.

[20] D. WOODRUFF - Complete Function Algebras with Values in A Uniform Field, to appear. | MR 559008 | Zbl 0489.46056

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Sunto

Referenze Bibliografiche