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Several extremal coreflective classes in uniform spaces. (English) Zbl 0487.54027

MSC:

54E15 Uniform structures and generalizations
54B30 Categorical methods in general topology
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)

Citations:

Zbl 0388.54009
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References:

[1] Čech E.: Topological spaces. Academia, Prague 1966. · Zbl 0141.39401
[2] Deaibes A.: Espaces uniformes et espaces de mesures. thesis, Univ. Claude-Bernard Lyon, 1976. · Zbl 0329.54023
[3] Frolík Z.: Four functors into paved spaces. Seminar Uniform Spaces 1973-74, MÚ ČSAV Prague 1975, 27-72. · Zbl 0369.54012
[4] Frolík Z.: Three technical tools in uniform spaces. Seminar Uniform Spaces 1973 - 74, MÚ ČSAV Prague 1975, 3-26.
[5] Frolík Z., Pelant J., Vilímovský J.: On hedgehog-toplogically fine uniform spaces. Seminar Uniform Spaces 1975-76, MÚ ČSAV Prague 1976, 75-86.
[6] Frolík Z., Pelant J., Vilímovský J.: Extensions of uniformly continuous functions. Bull. Acad. Polon. Sci. Math. Astr. Phys., 26 (1978), 143-148. · Zbl 0388.54009
[7] Hušek M., Rice M.: Productivity of coreflective subcategories of uniform spaces. General Topology and Appl., 9 (1978), 295-306. · Zbl 0447.54009 · doi:10.1016/0016-660X(78)90033-8
[8] Isbell J.: Uniform spaces. Amer. Math. Soc., Providence 1964. · Zbl 0124.15601
[9] Pachl J.: Free uniform measures. Comment. Math. Univ. Carolinae, 15 (1974), 541 -553. · Zbl 0288.28008
[10] Pachl J.: Free uniform measures on sub-inversion-closed uniform spaces. Comment. Math. Univ. Carolinae, 17 (1976), 241-253. · Zbl 0326.28011
[11] Pelant J., Pták P.: Injectivity of polyhedra. Seminar Uniform Spaces 1975-76, MÚ ČSAV Prague 1976, p. 73. · Zbl 0343.54028
[12] Pelant J., Vilímovský J.: Two examples of reflections. Seminar Uniform Spaces 1975-76, MÚ ČSAV Prague 1976, 63 - 68.
[13] Vilímovský J.: Generation of coreflections in categories. Comment. Math. Univ. Carolinae 14 (1973), 305-323. · Zbl 0266.18003
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