Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-06-02T21:17:24.747Z Has data issue: false hasContentIssue false
  • English
  • Français

Arc Components of Certain Chainable Continua

Published online by Cambridge University Press:  20 November 2018

Sam B. Nadler Jr
Sam B. Nadler Jr*
Affiliation:
Dalhousie University, Halifax, Nova ScotiaLoyola University, New Orleans, Louisiana
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.

It is shown that if a chainable continuum has exactly two arc components, then one of them is an arc and the other is a half-ray.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 2 , June 1971 , pp. 183 - 189
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Andrews, J. J., A chainable continuum no two of whose nondegenerate subcontinuum are homeomorphic, Proc. Amer. Math. Soc. (2) 12 (1961), 333-334.Google Scholar
2. Borsuk, K., A theorem on fixed points, Bull. Acad. Polon. Sci. CL. III 2 (1954), 17-20.Google Scholar
3. Fort, M.K. Jr and Segal, J., Local connectedness of inverse limit spaces, Duke Math. J. 28 (1961), 253-260.Google Scholar
4. Hocking, J.G. and Young, G. S., Topology, Addison-Wesley, Reading, Mass., 1961.Google Scholar
5. Mazurkiewicz, S. and Sierpinski, W., Contribution à la topologie des ensembles dénombrables, Fund. Math. 1 (1920), 17-27.Google Scholar
6. Nadler, S.B. Jr, Inverse limits and multicoherence, Bull. Amer. Math. Soc. 76 (1970), 411-414.Google Scholar
7. Young, G.S., Fixed-point theorems for arcwise connected continua, Proc. Amer. Math. Soc. 11 (1960), 880-884.Google Scholar