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Proceedings of the American Mathematical Society

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The span and semispan of some simple closed curves

Author: Katarzyna Tkaczyńska
Journal: Proc. Amer. Math. Soc. 111 (1991), 247-253
MSC: Primary 54F15
MathSciNet review: 1037225
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Abstract: The spans of simple closed curves that are boundaries of convex regions are determined. The following question of Lelek is answered affirmatively for these curves: Are the span and the semispan of a simple closed curve equal? The same answer is obtained in the case of nonconvex quadrilaterals.

References [Enhancements On Off] (What's this?)

  • [1] A. Lelek, Disjoint mappings and the span of spaces, Fund. Math. 55 (1964), 199-214. MR 0179766 (31:4009)
  • [2] -, On the surjective span and semispan of connected metric spaces, Colloq. Math. 37 (1977), 35-45. MR 0482680 (58:2737)
  • [3] Thelma West, The span structure of some graphs and continua, Ph.D. thesis, University of Houston, 1986.

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Article copyright: © Copyright 1991 American Mathematical Society

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