Hostname: page-component-7dd5485656-jtdwj Total loading time: 0 Render date: 2025-10-31T13:33:02.133Z Has data issue: false hasContentIssue false
  • English
  • Français

A Generalization of Floyd's Theorem on Unicoherent Peano Continua with Involution

Published online by Cambridge University Press:  20 November 2018

A. K. Grover  and
J. H. V. Hunt
A. K. Grover
Affiliation:
University of Saskatchewan, Saskatoon, Sask
J. H. V. Hunt
Affiliation:
Centro de Investigacion y de Estudios Avanzados Del IPN, Mexico
Rights & Permissions [Opens in a new window]

Abstract

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.

We generalize a result of E. E. Floyd on unicoherent Peano continua with involution to unicoherent locally connected regular hereditarily Lindelöf spaces. The result has an application in the theory of connectivity functions.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 109 - 111
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Eilenberg, S., Sur les espaces multicohérents I, Fund. Math. 27 (1962) 153-190.Google Scholar
2. Floyd, E. E., Real-valued mappings of spheres, Proc. Amer. Math. Soc. 6 (1962) 957-959.Google Scholar
3. Grover, A. K., Involutions on n-coherent spaces, M. Se. Thesis, University of Saskatchewan, Saskatoon, 1972.Google Scholar
4. Hocking, J. G. and Young, G. S., Topology, Addison Wesley, Reading, Mass., 1961.Google Scholar
5. Hunt, J. H. V., A connectivity map f:Sn→Sn-1 does not commute with the antipodal map, Bol. Soc. Mat. Mex. 16 (1962) 43-45.Google Scholar
6. Hunt, J. H. V., A proof of Dyson's theorem on real-valued mappings of the sphere, to appear.Google Scholar
7. Hunt, J. H. V. and Tymchatyn, E. D., A theorem on involutions on unicoherent spaces, to appear.Google Scholar
8. Newman, M. H. A., Elements of the topology of plane sets of points, 2nd ed., Cambridge University Press, Cambridge, 1951.Google Scholar