An injective metrization for collapsible polyhedra
HTML articles powered by AMS MathViewer
- by Jie Hua Mai and Yun Tang PDF
- Proc. Amer. Math. Soc. 88 (1983), 333-337 Request permission
Abstract:
In this paper we prove that any finite collapsible polyhedron is injectively metrizable.References
- N. Aronszajn and P. Panitchpakdi, Extension of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405–439. MR 84762
- J. R. Isbell, Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964), 65–76. MR 182949, DOI 10.1007/BF02566944
- John R. Isbell, $s$ admits an injective metric, Proc. Amer. Math. Soc. 28 (1971), 259–261. MR 282333, DOI 10.1090/S0002-9939-1971-0282333-7
- John R. Stallings, Lectures on polyhedral topology, Tata Institute of Fundamental Research Lectures on Mathematics, No. 43, Tata Institute of Fundamental Research, Bombay, 1967. Notes by G. Ananda Swarup. MR 0238329
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 333-337
- MSC: Primary 54E35; Secondary 57Q05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0695270-9
- MathSciNet review: 695270