Convenient categories for topologists
H. L. Bentley; Horst Herrlich; W. A. Robertson
Commentationes Mathematicae Universitatis Carolinae (1976)
- Volume: 017, Issue: 2, page 207-227
- ISSN: 0010-2628
Access Full Article
topHow to cite
topReferences
top- ANTOINE P., Étude élémentaire des categories d'ensemble structurées, Bull. Soc. Math. Belgique 18, 142-164 and 387-41 (1966). (1966) MR0200321
- [2J BASTIANI A., Applications différentiables et variétés différentiables de dimension infinie, J. Analyse Math. 13, 1-114 (1964). (1964) MR0177277
- 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). (1975) Zbl0314.54013MR0380738
- BINZ E., KELLER H. H., Fuktionenräume in der Kategorie der Limesräume, Ann. Acad. Sci. Fenn. Sec. AI 383, 1-21 (1966). (1966) MR0206890
- CHOQUET G., Star les notions de filtre et de grille, C. R. Acad. Sci. Paris 224, 171-173 (1947). (1947) MR0018813
- CHOQUET G., Convergences, Ann. Univ. Grenoble Sect. Sci. Math. Phys. (NS) 23, 57-112 (1948). (1948) Zbl0031.28101MR0025716
- COOK C. H., FISCHER H. R., On equicontinuity and continuous convergence, Math. Ann. 159, 94-104 (1965). (1965) Zbl0129.38001MR0179752
- FISCHER H. R., Limesräume, Math. Ann. 137, 269-303 (1959). (1959) Zbl0086.08803MR0109339
- HASTINGS M., Shayegan Epireflective hulls in Near, preprint.
- HERRLICH H., A concept of nearness, Gen. Topol. Appl. 5, 191-212 (1974). (1974) Zbl0288.54004MR0350701
- HERRLICH H., Topological structures, Math. Centre Tract 52, Amsterdam, 59-122 (1974). (1974) Zbl0311.54003MR0358706
- HERRLICH H., Cartesian closed topological categories, Math. Coll. Univ. Cape Town 9, 1-16 (1974). (1974) Zbl0318.18011MR0460414
- HOFFMAN E. E., Die kategorielle Auffassung dur Initial- und Finaltopologie, Thesis, Univ. Bochum, 1972. (1972)
- HUŠEK M., -categories, Comment. Math. Univ. Carolinae 5, 37-46 (1964). (1964) MR0174027
- KATĚTOV M., On continuity structures and spaces of mappings, Comments Math. Univ. Carolinae 6, 257- 278 (1965). (1965) MR0193608
- KATĚTOV M., Convergence structures, Conf. General Topology II, Prague, 1966, 207-216 (1967). (1966) MR0232331
- KENT D., Convergence functions and their related topologies, Fund. Math. 54, 12-133 (1964). (1964) Zbl0122.41301MR0161301
- KOWALSKY H. J., Limesräume und Komplettierung, Math. Nachr. 12, 301-340 (1954). (1954) Zbl0056.41403MR0073147
- MACHADO A., Espaces d'Antoine et pseudo-topologies, Cahiers de Top. et Géom. Diff. 14 (1973). (1973) Zbl0276.54001MR0345054
- NEL L. D., Initially structured categories and cartesian closedness, Can. J. Math. (to appear). Zbl0294.18002MR0393183
- PENON M. J., Algèbra dea categories. Quasi-topos, C. R. Acad. Sci. Paris 276, A237-240 (1974). (1974)
- ROBERTSON W. A., Convergence as a nearness concept, Thesiss Carleton University, 1975. (1975)
- SPANIER E., Quasi-topologies, Duke Math. J. 30, 1-14 (1963). (1963) Zbl0114.38702MR0144300
- STEENROD N. E., A convenient category of topological spaces, Michigan Math. J. 14, 133-152 (1967). (1967) Zbl0145.43002MR0210075
- VOGT R. M., Convenient categories of topological spaces for homotopy theory, Archiv Math. 22, 545-555 (1971). (1971) Zbl0237.54001MR0300277
- WYLER O., On the categories of general topology and topological algebra, Archiv Math. 22, 7-17 (1971). (1971) Zbl0265.18008MR0287563
- WYLER O., TOP categories and categorical topology, Gen. Topol. Appl. 1, 17-28 (1971). (1971) Zbl0215.51502MR0282324
- WYLER O., Convenient categories for topology, Gen. Topol. Appl. 3, 225-242 (1973). (1973) Zbl0264.54018MR0324622
Citations in EuDML Documents
top- Petr Simon, On natural merotopies
- John W. Carlson, Prime extensions and nearness structures
- H. L. Bentley, Worthen N. Hunsaker, Čech complete nearness spaces
- H. L. Bentley, E. Lowen-Colebunders, The cartesian closed topological hull of the category of completely regular filterspaces
- H. L. Bentley, Eva Lowen-Colebunders, Completely regular spaces