Summary
Theorem 1 gives a characterization of the Gauss spaces. As a consequence of this theorem we construct some examples and counter-examples of such spaces. Finally, we define and sludy some properties of the canonical standard family of coverings, Gauss subspace, Guss product space, etc.
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References
R. G. Lintz,Introduction to General Analysis, McMaster University, Hamilton, Ontario Canada, 1967
N. Bourbaki,Topologie Générale, livre III, chapitre 1 4ème édition, 1965.
C. S. Hönig,Sôbre um método de refinamento de topologias, Boletim da sociedade de Matemática de São Paulo, Vol. 6, fasc. 1 e 2, dezembro 1951.
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Entrata in Redazione il 6 luglio 1968.
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Alas, O.T. On gauss spaces. Annali di Matematica 82, 25–33 (1969). https://doi.org/10.1007/BF02410785
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DOI: https://doi.org/10.1007/BF02410785