About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Bentley, H. L. ; Herrlich, Horst ; Robertson, W. A.
Convenient categories for topologists. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 207-227
MSC: 18B99, 54A05, 54B30, 54B99, 54C35, 54E99 | MR 0425890 | Zbl 0327.54001
References:
[1] ANTOINE P.: Étude élémentaire des categories d'ensemble structurées. Bull. Soc. Math. Belgique 18, 142-164 and 387-41 (1966). MR 0200321
[2J BASTIANI A.: Applications différentiables et variétés différentiables de dimension infinie. J. Analyse Math. 13, 1-114 (1964). MR 0177277
[3] BENTLEY R. L.: Nearness spaces and extensions of topological spaces. Studies in Topology, N. Stavrakas and K. Allen, Ed., Academic Press, New York, 47-66 (1975). MR 0380738 | Zbl 0314.54013
[4] BINZ E., KELLER H. H.: Fuktionenräume in der Kategorie der Limesräume. Ann. Acad. Sci. Fenn. Sec. AI 383, 1-21 (1966). MR 0206890
[5] CHOQUET G.: Star les notions de filtre et de grille. C. R. Acad. Sci. Paris 224, 171-173 (1947). MR 0018813
[6] CHOQUET G.: Convergences. Ann. Univ. Grenoble Sect. Sci. Math. Phys. (NS) 23, 57-112 (1948). MR 0025716 | Zbl 0031.28101
[7] COOK C. H., FISCHER H. R.: On equicontinuity and continuous convergence. Math. Ann. 159, 94-104 (1965). MR 0179752 | Zbl 0129.38001
[8] FISCHER H. R.: Limesräume. Math. Ann. 137, 269-303 (1959). MR 0109339 | Zbl 0086.08803
[9] HASTINGS M. : Shayegan Epireflective hulls in Near. preprint.
[10] HERRLICH H.: A concept of nearness. Gen. Topol. Appl. 5, 191-212 (1974). MR 0350701 | Zbl 0288.54004
[11] HERRLICH H.: Topological structures. Math. Centre Tract 52, Amsterdam, 59-122 (1974). MR 0358706 | Zbl 0311.54003
[12] HERRLICH H.: Cartesian closed topological categories. Math. Coll. Univ. Cape Town 9, 1-16 (1974). MR 0460414 | Zbl 0318.18011
[13] HOFFMAN E. E.: Die kategorielle Auffassung dur Initial- und Finaltopologie. Thesis, Univ. Bochum, 1972.
[14] HUŠEK M.: $S$-categories. Comment. Math. Univ. Carolinae 5, 37-46 (1964). MR 0174027
[15] KATĚTOV M.: On continuity structures and spaces of mappings. Comments Math. Univ. Carolinae 6, 257- 278 (1965). MR 0193608
[16] KATĚTOV M.: Convergence structures. Conf. General Topology II, Prague, 1966, 207-216 (1967). MR 0232331
[17] KENT D.: Convergence functions and their related topologies. Fund. Math. 54, 12-133 (1964). MR 0161301 | Zbl 0122.41301
[18] KOWALSKY H. J.: Limesräume und Komplettierung. Math. Nachr. 12, 301-340 (1954). MR 0073147 | Zbl 0056.41403
[19] MACHADO A.: Espaces d'Antoine et pseudo-topologies. Cahiers de Top. et Géom. Diff. 14 (1973). MR 0345054 | Zbl 0276.54001
[20] NEL L. D.: Initially structured categories and cartesian closedness. Can. J. Math. (to appear). MR 0393183 | Zbl 0294.18002
[21] PENON M. J.: Algèbra dea categories. Quasi-topos. C. R. Acad. Sci. Paris 276, A237-240 (1974).
[22] ROBERTSON W. A.: Convergence as a nearness concept. Thesiss Carleton University, 1975.
[23] SPANIER E.: Quasi-topologies. Duke Math. J. 30, 1-14 (1963). MR 0144300 | Zbl 0114.38702
[24] STEENROD N. E.: A convenient category of topological spaces. Michigan Math. J. 14, 133-152 (1967). MR 0210075 | Zbl 0145.43002
[25] VOGT R. M.: Convenient categories of topological spaces for homotopy theory. Archiv Math. 22, 545-555 (1971). MR 0300277 | Zbl 0237.54001
[26] WYLER O.: On the categories of general topology and topological algebra. Archiv Math. 22, 7-17 (1971). MR 0287563 | Zbl 0265.18008
[27] WYLER O.: TOP categories and categorical topology. Gen. Topol. Appl. 1, 17-28 (1971). MR 0282324 | Zbl 0215.51502
[28] WYLER O.: Convenient categories for topology. Gen. Topol. Appl. 3, 225-242 (1973). MR 0324622 | Zbl 0264.54018
Partner of
EuDML logo