Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T13:47:48.837Z Has data issue: false hasContentIssue false
  • English
  • Français

Respectability of the graphs of composites

Published online by Cambridge University Press:  26 February 2010

Zdeněk Frolík
Zdeněk Frolík
Affiliation:
Matematický Ústav Čsav, Praha, Czechoslovakia.
Get access

Extract

In general the terminology and notation of [1] is used throughout. A correspondence for topological spaces is a triple f: P → Q where P and Q are topological spaces and f is a subset of P × Q, the graph of f: P → Q. A correspondence f: P → Q will be called graph-compact, or graph-closed, or graph-Souslin, or graph-analytic if f is, respectively, compact or closed or Souslin or analytic in P × Q.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 153 - 157
Copyright
Copyright © University College London 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Čech, E., Topohgical Spaces (Academia, Praha 1965).Google Scholar
2.Choquct, G., “Ensembles K-analyliques et K-Susliniens”, Ann. hist. Fourier, 9 (1959), 75–81.Google Scholar
3.Frolik, Z., “A contribution to the descriptive theory of sets and spaces”, General topology and its relation of modern analysis and algebra, Proc. Symp. Prague, Sept. 1961, 157–173 (New York, Academic Press).Google Scholar
4.Frolik, Z., “Baire sets that are Borelian subspaces”, Proc. Royal Soc. A, 299 (1967), 287–290.Google Scholar
5.Frolik, Z., “On the Souslin-graph theorem”, Comm. Math. Univ. Carol., 9 (1968), 641–650.Google Scholar
6.Frolik, Z., “Analytic sets in general spaces”, to appear in the Proc. London Math. Soc.Google Scholar
7.Rogers, C. A., “Analytic sets in Hausdorff spaces, “Mathematika, 11 (1964), 1–8.CrossRefGoogle Scholar
8.Rogers, C. A. and Wilmott, R. C., “On the projection of Souslin sets”, Mathematika, 13 (1966), 147–150.CrossRefGoogle Scholar
9.Rogers, C. A. and Wilmott, R. C., “On the uniformization of sets in topological spaces”, Acta Math., 120 (1968), 1–52.CrossRefGoogle Scholar