The span and semispan of some simple closed curves
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- by Katarzyna Tkaczyńska PDF
- Proc. Amer. Math. Soc. 111 (1991), 247-253 Request permission
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
- A. Lelek, Disjoint mappings and the span of spaces, Fund. Math. 55 (1964), 199–214. MR 179766, DOI 10.4064/fm-55-3-199-214
- A. Lelek, On the surjective span and semispan of connected metric spaces, Colloq. Math. 37 (1977), no. 1, 35–45. MR 482680, DOI 10.4064/cm-37-1-35-45 Thelma West, The span structure of some graphs and continua, Ph.D. thesis, University of Houston, 1986.
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 247-253
- MSC: Primary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1037225-5
- MathSciNet review: 1037225