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On Stone-Weierstrass spaces

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TOPO 72 — General Topology and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 378))

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References

  1. Alexandroff, P., and Urysohn, P., "Zur theorie der topologischen raume", Math. Ann. 92, 258–266 (1924).

    Article  MathSciNet  MATH  Google Scholar 

  2. Banaschewski, B., "On the Weierstrass-Stone approximation theorem", Fund. Math. 44, 249–252 (1957).

    MathSciNet  MATH  Google Scholar 

  3. Bourbaki, N., General Topology, Part 2, Addision-Wesley, Reading, Massachusetts, 1966.

    MATH  Google Scholar 

  4. D'Aristotle, A. J., "On the extension of mappings in SW spaces", (submitted to Trans. Amer. Math. Soc.).

    Google Scholar 

  5. Fomin, S., "Extensions of topological spaces", Ann. of Math. 44, 471–480 (1943).

    Article  MathSciNet  MATH  Google Scholar 

  6. Frolik, Z., "Generalizations of compact and Lindelöf spaces", Czech. Math. J. 9, 172–217 (1959).

    MathSciNet  MATH  Google Scholar 

  7. Gillman, L., and Jerison, M., Rings of Continuous Functions, Van Nostrand, Princeton, New Jersey, 1960.

    Book  MATH  Google Scholar 

  8. Katětov, M., "Uber H-abgeschlossene und bikompakte raume", Casopis Pest. Mat. 69, 36–49 (1940).

    MathSciNet  MATH  Google Scholar 

  9. Liu, C. T., "Absolutely closed spaces", Trans. Amer. Math. Soc. 130, 86–104 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  10. Porter, J., and Thomas, J., "On H-closed and minimal Hausdorff spaces", Trans. Amer. Math. Soc. 138, 159–170 (1969).

    MathSciNet  MATH  Google Scholar 

  11. Raha, A. B., "On completely Hausdorff-completion of a completely Hausdorff space", Pac. J. Math. 38, 161–166 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  12. Stephenson, R. M., Jr., "Spaces for which the Stone-Weierstrass theorem holds", Trans. Amer. Math. Soc. 133, 537–546 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  13. Stephenson, R. M., Jr., "Product spaces for which the Stone-Weierstrass theorem holds", Proc. Amer. Math. Soc. 21, 284–288

    Google Scholar 

  14. Taimanov, A. D., "On extension of continuous mappings of topological spaces", (in Russian) Mat. Sbornik 31, 459–463 (1952).

    MathSciNet  Google Scholar 

  15. Veličko, N., "On extension of mappings of topological spaces", Amer. Math. Soc. Transl. 92, 41–47 (1970).

    Article  Google Scholar 

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Authors and Affiliations

  1. State University College at Geneseo, 14454, Geneseo, New York

    Anthony J. D'Aristotle

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  1. Anthony J. D'Aristotle
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Richard A. Alò Robert W. Heath Jun-iti Nagata

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© 1974 Springer-Verlag

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D'Aristotle, A.J. (1974). On Stone-Weierstrass spaces. In: Alò, R.A., Heath, R.W., Nagata, Ji. (eds) TOPO 72 — General Topology and its Applications. Lecture Notes in Mathematics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068465

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  • DOI: https://doi.org/10.1007/BFb0068465

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06741-2

  • Online ISBN: 978-3-540-38323-9

  • eBook Packages: Springer Book Archive

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