Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-19T06:46:27.142Z Has data issue: false hasContentIssue false
  • English
  • Français

Multifunctions of Souslin type: Corrigendum

Published online by Cambridge University Press:  17 April 2009

S.J. Leese
S.J. Leese
Affiliation:
Department of Mathematics, Loughborough University of Technology, Loughborough, Leicestershire, England.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In [1], Theorem 6, a sufficient condition is given for a multifunction to be “of Souslin type”. However, the proof contains an error; we are required to prove that the multifunction Ω: S→ P×NN defined by

has values which are closed subsets of P×NN (the notation is explained in [1]). The “proof” of this fact given in [1] is manifestly incorrect as it appears to assume that NN has the discrete topology.

Type
Corrigendum
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 159 - 160
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Leese, S.J., “Multifunctions of Souslin type”, Bull. Austral. Math. Soc. 11 (1974), 395–411.CrossRefGoogle Scholar