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Frolík, Zdeněk. A survey of separable descriptive theory of sets and spaces. Czechoslovak Mathematical Journal, Tome 20 (1970) no. 3, pp. 406-467. doi: 10.21136/CMJ.1970.100975
@article{10_21136_CMJ_1970_100975,
author = {Frol{\'\i}k, Zden\v{e}k},
title = {A survey of separable descriptive theory of sets and spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {406--467},
year = {1970},
volume = {20},
number = {3},
doi = {10.21136/CMJ.1970.100975},
mrnumber = {0266757},
zbl = {0223.54028},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1970.100975/}
}
TY - JOUR AU - Frolík, Zdeněk TI - A survey of separable descriptive theory of sets and spaces JO - Czechoslovak Mathematical Journal PY - 1970 SP - 406 EP - 467 VL - 20 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1970.100975/ DO - 10.21136/CMJ.1970.100975 LA - en ID - 10_21136_CMJ_1970_100975 ER -
Čech E.: On bicompact spaces. Ann. Math. 39 (1937), 823-844. | DOI | MR
Čech E.: Topological spaces. Academia, Praha 1966. | MR
Bressler D. W., Sion M.: The current theory of analytic sets. Canad. J. Math., 16 (1964), 207-230. | DOI | MR | Zbl
Choquet G.: Ensembles boreliens et analytiques dans les espaces topologiques. C. R. Acad. Sci. Paris, 232 (1951), 2174-2176. | MR | Zbl
Choquet G.: Theory of capacities. Ann. Inst. Fourier (Grenoble), 5 (1953 - 54), 131 - 295. | DOI | MR
Choquet G.: Ensembles K-analytiques et K-sousliniens. Ann. Inst. Fourier (Grenoble), 9 (1959), 75 - 89. | MR
Frolík Z.: On $G\sb{\delta}$-spaces. Czech. Math. J. 9 (1959), 63-65. | MR
Frolík Z.: Generalization of $G\sb{\delta}$-property of complete metric spaces. Czech. Math. J. 10 (1960), 359-379. | MR
Frolík Z.: Internal characterizations of topologically complete spaces in the sense of E. Čech. Czech. Math. J. 12 (1962), 445-455. | MR
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. | MR
Frolík Z.: On the descriptive theory of sets. Czech. Math. J. 13 (1963), 335 - 359. | MR
Frolík Z.: On analytic spaces. Bull. Acad. Polon. IX(1961), 721 - 726. | MR
Frolík Z.: On coanalytic and bianalytic spaces. Bull. Acad. Polon. ХII (1964), 527-530. | MR
Frolík Z.: Baire sets that are Borelian subspaces. Proc. Roy. Soc. A, 299 (1967), 287-290. | MR
Frolík Z.: A note on $C(P)$ and Baire sets in compact and metrizable spaces. Bull. Acad. Polon. ХУ (1967), 779-784. | MR | Zbl
Frolík Z.: On the Souslin graph theorem. Comment. Math. Univ. Carolinae 9 (1968), 243 - 249. | MR
Frolík Z.: On absolute Borel and Souslin sets. To appear in Pacif. J. Math. | MR
Frolík Z.: A note on the Souslin operations. Comment. Math. Univ. Carolinae 9 (1968), 641 - 650. | MR
Frolík Z.: On $B$-spaces. Comment. Math. Univ. Carolinae 9 (1968), 651 - 658. | MR
Frolík Z.: A separation theorem and applications to Borel sets. Czech. Math. J. 20 (1970), 98-108. | MR
Frolík Z.: Respectability of composites. Mathematika (1969), 153-157. | MR
Frolík Z.: Analytic and Borelian sets in general spaces. Proc. London Soc. 1970. | DOI | MR
Frolík Z.: Abstract analytic and Borelian sets. Bull. Math. Soc. Franç. 97 (1969), 357-368. | MR
Gillman L., Jerison M.: Rings of continuous functions. D. van Nostrand, Princeton, 1960. | MR | Zbl
Kelley J. L.: General topology. D. van Nostrand, Pricenton, 1955. | MR | Zbl
Kelley J. L.: Linear topological spaces (with Namioka I.). D. van Nostrand, Princeton, 1963. | MR
Kuratovski K.: Topologie I. Warszawa 1952.
Lusin N.: Les ensembles analytiques. Gauther-Villars Paris 1930.
Lusin N.: Sur les ensembles analytiques. Fund. Math. X (1927), 1 - 95. | DOI
Mackey С. W.: Borel structure in groups and their duals. Trans. Amer. Math. Soc. 85 (1957), 134-165. | MR | Zbl
Martineau A.: Sur le théorème du graphe fermé. C. R. Acad. Sci. Paris 263 (1966), 870. | MR | Zbl
Meyer P. A.: Probability and potentials. Blaisdell Co., London 1966. | DOI | MR | Zbl
Montgomery D.: Non-separable metric spaces. Fund. Math. 25 (1935), 527-534. | DOI | Zbl
Negrepontis S.: Absolute Baire sets. Proc. Amer. Math. Soc. 18 (1967), 690-694. | DOI | MR | Zbl
Purves R.: Bimeasurable functions. Fund. Math. 58 (1966), 149-157. | DOI | MR | Zbl
Rogers C. A.: Analytic sets in Hausdorff spaces. Mathematika 11 (1964), 1 - 8. | MR | Zbl
Rogers C. A.: Descriptive Borel sets. Proc. Roy. Soc. Ser. A, 286 (1965), 455-478. | MR | Zbl
Rogers C. A. (with Knowles J. D.): Descriptive sets. Proc. Roy. Soc. Ser. A 291 (1965), 353-367. | DOI | MR
Rogers C. A. (with Willmott R. C.): On the projection of Souslin sets. Mathematika 13 (1966), 147-150. | DOI | MR
Rogers C. A. (with Willmott R. C.): On the uniformization of sets in topological spaces. Acta Math. 120 (1968), 1-52. | MR
Rogers C. A.: Spaces with good Borel structures. To appear. | MR | Zbl
Rogers C. A.: A linear Borel set whose difference set is not Borel. To appear. | DOI
Rogers C. A.: Lusin's first separation theorem. To appear. | DOI | Zbl
Sierpinski W.: Algèbre des ensembles. Warszawa-Wroclaw 1951. | MR | Zbl
Sierpinski W.: Théorème d'unicité de M. Luzin. Fund. Math. 21 (1935), 250-275. | DOI
Sion M.: On uniformization of sets in topological spaces. Trans. Amer. Math. Soc, 96 (1960), 237-245. | DOI | MR | Zbl
Sion M.: On analytic sets in topological spaces. Trans. Amer. Math. Soc, 96 (1960), 341 - 354. | MR | Zbl
Sion M.: Topological and measure-theoretic properties of analytic sets. Proc Amer. Math. Soc, 11 (1960), 769-776. | MR | Zbl
Sion M.: Continuous images of Borel sets. Proc Amer. Math. Soc, 12 (1961), 385-391. | MR | Zbl
Sion M.: On capacitability and measurability. Ann. Inst. Fourier (Grenoble), 13 (1963), 83 - 99. | MR | Zbl
Šneider V. E.: Continuous images of Souslin and Borel sets: Metrization theorems. (in Russian). Dokl. Akad. Nauk SSSR, 50 (1945), 77-79. | MR
Šneider V. E.: Descriptive theory of sets in topological spaces. (in Russian). Dokl. Akad. Nauk SSSR, 50 (1945), 81-83. | DOI | MR
Šneider V. E.: Descriptive theory of sets in topological spaces. (in Russian). Učenye Zapiski Moskov. Gos. Univ. 135, II (1948), 37-85. | MR
Schwartz L.: Sur le théorème du graphe fermé. C. R. Acad. Sci. Paris, 263 (1966), 612. | MR | Zbl
Stone A. H.: Non-separable Borel sets. Rozprawy Mat. 28, Warszawa 1962. | MR | Zbl
Stone A. H.: Absolute $F\sb{sigma}$-spaces. Proc Amer. Math. Soc 13 (1962), 495 - 499. | MR
Treves F.: Topological vector spaces, distributions and kernels. Academic Press, New York 1967. | MR | Zbl
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