A survey of separable descriptive theory of sets and spaces
Czechoslovak Mathematical Journal (1970)
- Volume: 20, Issue: 3, page 406-467
- ISSN: 0011-4642
Access Full Article
topHow to cite
topFrolík, Zdeněk. "A survey of separable descriptive theory of sets and spaces." Czechoslovak Mathematical Journal 20.3 (1970): 406-467. <http://eudml.org/doc/12544>.
@article{Frolík1970,
author = {Frolík, Zdeněk},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {406-467},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A survey of separable descriptive theory of sets and spaces},
url = {http://eudml.org/doc/12544},
volume = {20},
year = {1970},
}
TY - JOUR
AU - Frolík, Zdeněk
TI - A survey of separable descriptive theory of sets and spaces
JO - Czechoslovak Mathematical Journal
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 3
SP - 406
EP - 467
LA - eng
UR - http://eudml.org/doc/12544
ER -
References
top- Čech E., 10.2307/1968839, Ann. Math. 39 (1937), 823-844. (1937) MR1503374DOI10.2307/1968839
- Čech E., Topological spaces, Academia, Praha 1966. (1966) MR0211373
- Bressler D. W., Sion M., 10.4153/CJM-1964-021-7, Canad. J. Math., 16 (1964), 207-230. (1964) Zbl0126.38502MR0163854DOI10.4153/CJM-1964-021-7
- Choquet G., Ensembles boreliens et analytiques dans les espaces topologiques, C. R. Acad. Sci. Paris, 232 (1951), 2174-2176. (1951) Zbl0042.05403MR0041911
- Choquet G., 10.5802/aif.53, Ann. Inst. Fourier (Grenoble), 5 (1953 - 54), 131 - 295. (1953) MR0080760DOI10.5802/aif.53
- Choquet G., Ensembles K-analytiques et K-sousliniens, Ann. Inst. Fourier (Grenoble), 9 (1959), 75 - 89. (1959) MR0112843
- Frolík Z., On -spaces, Czech. Math. J. 9 (1959), 63-65. (1959) MR0112116
- Frolík Z., Generalization of -property of complete metric spaces, Czech. Math. J. 10 (1960), 359-379. (1960) MR0116305
- Frolík Z., Internal characterizations of topologically complete spaces in the sense of E. Čech, Czech. Math. J. 12 (1962), 445-455. (1962) MR0148030
- Frolík Z., A contribution to the descriptive theory of sets and spaces, General Topology and its Relations to Modern Analysis and Algebra. Proc. Symp. Prague 1961, 157-173. (1961) MR0145471
- Frolík Z., On the descriptive theory of sets, Czech. Math. J. 13 (1963), 335 - 359. (1963) MR0162215
- Frolík Z., On analytic spaces, Bull. Acad. Polon. IX(1961), 721 - 726. (1961) MR0131980
- Frolík Z., On coanalytic and bianalytic spaces, Bull. Acad. Polon. ХII (1964), 527-530. (1964) MR0171260
- Frolík Z., Baire sets that are Borelian subspaces, Proc. Roy. Soc. A, 299 (1967), 287-290. (1967) MR0214030
- Frolík Z., A note on and Baire sets in compact and metrizable spaces, Bull. Acad. Polon. ХУ (1967), 779-784. (1967) Zbl0153.52601MR0224480
- Frolík Z., On the Souslin graph theorem, Comment. Math. Univ. Carolinae 9 (1968), 243 - 249. (1968) MR0236647
- Frolík Z., On absolute Borel and Souslin sets, To appear in Pacif. J. Math. MR0265171
- Frolík Z., A note on the Souslin operations, Comment. Math. Univ. Carolinae 9 (1968), 641 - 650. (1968) MR0252230
- Frolík Z., On -spaces, Comment. Math. Univ. Carolinae 9 (1968), 651 - 658. (1968) MR0252231
- Frolík Z., A separation theorem and applications to Borel sets, Czech. Math. J. 20 (1970), 98-108. (1970) MR0266133
- Frolík Z., Respectability of composites, Mathematika (1969), 153-157. (1969) MR0259872
- Frolík Z., 10.24033/bsmf.1688, Proc. London Soc. 1970. (1970) MR0300906DOI10.24033/bsmf.1688
- Frolík Z., Abstract analytic and Borelian sets, Bull. Math. Soc. Franç. 97 (1969), 357-368. (1969) MR0263639
- Gillman L., Jerison M., Rings of continuous functions, D. van Nostrand, Princeton, 1960. (1960) Zbl0093.30001MR0116199
- Kelley J. L., General topology, D. van Nostrand, Pricenton, 1955. (1955) Zbl0066.16604MR0070144
- Kelley J. L., Linear topological spaces (with Namioka I.), D. van Nostrand, Princeton, 1963. (1963) MR0166578
- Kuratovski K., Topologie I, Warszawa 1952. (1952)
- Lusin N., Les ensembles analytiques, Gauther-Villars Paris 1930. (1930)
- Lusin N., 10.1090/S0002-9947-1957-0089999-2, Fund. Math. X (1927), 1 - 95. (1927) DOI10.1090/S0002-9947-1957-0089999-2
- Mackey С. W., Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134-165. (1957) Zbl0082.11201MR0089999
- Martineau A., Sur le théorème du graphe fermé, C. R. Acad. Sci. Paris 263 (1966), 870. (1966) Zbl0151.19203MR0206677
- Meyer P. A., 10.4064/fm-25-1-527-533, Blaisdell Co., London 1966. (1966) Zbl0138.10401MR0205288DOI10.4064/fm-25-1-527-533
- Montgomery D., 10.1090/S0002-9939-1967-0214031-9, Fund. Math. 25 (1935), 527-534. (1935) Zbl0012.32102DOI10.1090/S0002-9939-1967-0214031-9
- Negrepontis S., 10.4064/fm-58-2-149-157, Proc. Amer. Math. Soc. 18 (1967), 690-694. (1967) Zbl0153.24503MR0214031DOI10.4064/fm-58-2-149-157
- Purves R., 10.1112/S0025579300003429, Fund. Math. 58 (1966), 149-157. (1966) Zbl0143.07101MR0199339DOI10.1112/S0025579300003429
- Rogers C. A., Analytic sets in Hausdorff spaces, Mathematika 11 (1964), 1 - 8. (1964) Zbl0123.39403MR0179750
- Rogers C. A., Descriptive Borel sets, Proc. Roy. Soc. Ser. A, 286 (1965), 455-478. (1965) Zbl0158.20202MR0185066
- Rogers C. A. (with Knowles J. D.), 10.1112/S0025579300003909, Proc. Roy. Soc. Ser. A 291 (1965), 353-367. (1965) MR0197660DOI10.1112/S0025579300003909
- Rogers C. A. (with Willmott R. C.), 10.1007/BF02394605, Mathematika 13 (1966), 147-150. (1966) MR0207939DOI10.1007/BF02394605
- Rogers C. A. (with Willmott R. C.), On the uniformization of sets in topological spaces, Acta Math. 120 (1968), 1-52. (1968) MR0237733
- Rogers C. A., Spaces with good Borel structures, To appear. Zbl0191.53003MR0259845
- Rogers C. A., 10.1090/S0002-9947-1960-0131506-X, To appear. DOI10.1090/S0002-9947-1960-0131506-X
- Rogers C. A., 10.1090/S0002-9947-1960-0131507-1, To appear. Zbl0207.52602DOI10.1090/S0002-9947-1960-0131507-1
- Sierpinski W., Algèbre des ensembles, Warszawa-Wroclaw 1951. (1951) Zbl0042.27903MR0045181
- Sierpinski W., 10.1090/S0002-9939-1961-0131508-X, Fund. Math. 21 (1935), 250-275. (1935) DOI10.1090/S0002-9939-1961-0131508-X
- Sion M., 10.5802/aif.131, Trans. Amer. Math. Soc, 96 (1960), 237-245. (1960) Zbl0094.25902MR0131506DOI10.5802/aif.131
- Sion M., On analytic sets in topological spaces, Trans. Amer. Math. Soc, 96 (1960), 341 - 354. (1960) Zbl0094.03404MR0131507
- Sion M., Topological and measure-theoretic properties of analytic sets, Proc Amer. Math. Soc, 11 (1960), 769-776. (1960) Zbl0095.03903MR0131509
- Sion M., Continuous images of Borel sets, Proc Amer. Math. Soc, 12 (1961), 385-391. (1961) Zbl0100.18901MR0131508
- Sion M., On capacitability and measurability, Ann. Inst. Fourier (Grenoble), 13 (1963), 83 - 99. (1963) Zbl0163.35301MR0158089
- Šneider V. E., Continuous images of Souslin and Borel sets: Metrization theorems, (in Russian). Dokl. Akad. Nauk SSSR, 50 (1945), 77-79. (1945) MR0053493
- Šneider V. E., 10.1090/S0002-9939-1962-0138088-4, (in Russian). Dokl. Akad. Nauk SSSR, 50 (1945), 81-83. (1945) MR0053494DOI10.1090/S0002-9939-1962-0138088-4
- Šneider V. E., Descriptive theory of sets in topological spaces, (in Russian). Učenye Zapiski Moskov. Gos. Univ. 135, II (1948), 37-85. (1948) MR0033874
- Schwartz L., Sur le théorème du graphe fermé, C. R. Acad. Sci. Paris, 263 (1966), 612. (1966) Zbl0151.19202MR0206676
- Stone A. H., Non-separable Borel sets, Rozprawy Mat. 28, Warszawa 1962. (1962) Zbl0111.35201MR0152457
- Stone A. H., Absolute -spaces, Proc Amer. Math. Soc 13 (1962), 495 - 499. (1962) MR0138088
- Treves F., Topological vector spaces, distributions and kernels, Academic Press, New York 1967. (1967) Zbl0171.10402MR0225131
Citations in EuDML Documents
top- Michel Talagrand, Ensembles K-analytiques et fonctions croissantes de compacts
- Michel Talagrand, Choquet simplexes whose set of extreme points is -analytic
- Zdeněk Frolík, A note on countably determined and distinguishable sets
- Ivan Korec, Results on disjoint covering systems on the ring of integers
- Zdeněk Frolík, Luzin sets are additive
- Zdeněk Frolìk, Abstract analytic and borelian sets
- J. P. Reus Christensen, J. K. Pachl, Measurable functionals on function spaces
- Eliza Wajch, A little more on the product of two pseudocompact spaces
- Marek Wilhelm, Almost lower semicontinuous multifunctions and the Souslin-graph theorem
- Petr Holický, Generalized analytic spaces, completeness and fragmentability
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.