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Covering and function theoretic properties of uniform spaces. (English) Zbl 0294.54026


MSC:

54E15 Uniform structures and generalizations
18B99 Special categories
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[1] Zdeněk Frolík, Interplay of measurable and uniform spaces, Proceedings of the International Symposium on Topology and its Applications (Budva, 1972) Savez Društava Mat. Fiz. i Astronom., Belgrade, 1973, pp. 98 – 101. · Zbl 0278.54028
[2] 2 Z. Frolík, Measurable uniform spaces, Proc. Second Internat. Topology Conference in Pittsburgh, 1972.
[3] Seymour Ginsburg and J. R. Isbell, Some operators on uniform spaces, Trans. Amer. Math. Soc. 93 (1959), 145 – 168. · Zbl 0087.37601
[4] Anthony W. Hager, Some nearly fine uniform spaces, Proc. London Math. Soc. (3) 28 (1974), 517 – 546. · Zbl 0284.54017 · doi:10.1112/plms/s3-28.3.517
[5] Anthony W. Hager, Measurable uniform spaces, Fund. Math. 77 (1972), no. 1, 51 – 73. · Zbl 0248.54031
[6] Miroslav Hušek, The class of \?-compact spaces is simple, Math. Z. 110 (1969), 123 – 126. · Zbl 0175.49601 · doi:10.1007/BF01124977
[7] J. R. Isbell, Uniform spaces, Mathematical Surveys, No. 12, American Mathematical Society, Providence, R.I., 1964. · Zbl 0124.15601
[8] Kiiti Morita, Topological completions and \?-spaces, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 10 (1970), 271 – 288 (1970). · Zbl 0217.19503
[9] Michael D. Rice, Covering and function theoretic properties of uniform spaces, Bull. Amer. Math. Soc. 80 (1974), 159 – 163. · Zbl 0294.54026
[10] 2 Michael D. Rice, M-fine uniform spaces (in preparation).
[11] Michael D. Rice, Subcategories of uniform spaces, Trans. Amer. Math. Soc. 201 (1975), 305 – 314. · Zbl 0306.54038
[12] 4 Michael D. Rice, Complete uniform spaces, Proc. Second Internat. Topology Conference in Pittsburgh, 1972. · Zbl 0327.54025
[13] Michael D. Rice and George D. Reynolds, Covering properties of uniform spaces, Oxford Quart. J. (to appear). · Zbl 0411.54028
[14] James C. Smith Jr., Refinements of Lebesgue covers, Fund. Math. 70 (1971), no. 1, 1 – 6. · Zbl 0212.27202
[15] Giovanni Vidossich, Two remarks on A. Gleason’s factorization theorem, Bull. Amer. Math. Soc. 76 (1970), 370 – 371. · Zbl 0179.51302
[16] Phillip Zenor, Extending completely regular spaces with inverse limits, Glasnik Mat. Ser. III 5 (25) (1970), 157 – 162 (English, with Serbo-Croatian summary). · Zbl 0202.22401
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