Uniquely arcwise connected plane continua have the fixed-point property
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- by Charles L. Hagopian PDF
- Trans. Amer. Math. Soc. 248 (1979), 85-104 Request permission
Abstract:
This paper contains a solution to a fixed-point problem of G. S. Young [17, p. 884] and R. H. Bing [4, Question 4, p. 124]. Let M be an arcwise connected plane continuum that does not contain a simple closed curve. We prove that every continuous function of M into M has a fixed point.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 248 (1979), 85-104
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9947-1979-0521694-X
- MathSciNet review: 521694