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Title: On the Scott topology on the set $C(Y,Z)$ of continuous maps (English)
Author: Papadopoulos, Basil K.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 41
Issue: 3
Year: 1991
Pages: 373-377
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Category: math
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MSC: 06B35
MSC: 54C35
idZBL: Zbl 0789.54022
idMR: MR1117790
DOI: 10.21136/CMJ.1991.102471
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Date available: 2008-06-09T15:40:00Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102471
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Reference: [1] Day B., Kelly G. M.: On topological quotient maps preserved by pullbacks or products.Proc. Camb. Phil. Soc. 67, 553-558 (1970). Zbl 0191.20801, MR 0254817, 10.1017/S0305004100045850
Reference: [2] Gierz G., Hofmann K. H., Keimel K., Lawson J. D., Mislove M., Scott D. S.: A Compendium of Continuous Lattices.Springer, Berlin-Heidelberg-New York (1980). Zbl 0452.06001, MR 0614752
Reference: [3] Hofmann K. H., Lawson J. D.: The speactral theory of distributive continuous lattices.Trans. Amer. Math. Soc. 246, 285-310 (1978). MR 0515540, 10.1090/S0002-9947-1978-0515540-7
Reference: [4] Lambrinos P. Th.: The bounded-open topology on function spaces.Manuscr. Math. 36, 47-66 (1981). Zbl 0459.54011, MR 0637854, 10.1007/BF01174812
Reference: [5] Lambrinos P. Th., Papadopoulos B.: The (strong) Isbell topology and (weakly) continuous lattices.Continuous Lattices and Applications. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker, New York. vol. 101, 191-211, (1985). Zbl 0587.54027, MR 0826002
Reference: [6] Schwarz F.: Topological continuous convergence.Manuscr. Math. 49, 79-89 (1984). Zbl 0566.54006, MR 0762788, 10.1007/BF01174872
Reference: [7] Schwarz F., Weck S.: Scott topology, Isbell topology and continuous convergence.Continuous Lattices and Applications. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker, New York. vol. 101, 251-271, (1985). Zbl 0598.54005, MR 0826006
Reference: [8] Wyler O.: Convenient categories for topology.Gen. Top. Appl. 3, 225-242 (1983). MR 0324622
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