A short proof of the Junnila quasimetrization theorem
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- by Ralph Fox PDF
- Proc. Amer. Math. Soc. 83 (1981), 663-664 Request permission
Abstract:
Junnila has shown in [2] that the classic $\gamma$-space conjecture is true in the class of developable spaces. This paper presents a new and straightforward proof of Junnila’s theorem, that every developable $\gamma$-space is quasi-metrizable.References
- Heikki J. K. Junnila, Neighbornets, Pacific J. Math. 76 (1978), no. 1, 83–108. MR 482677 —, Covering properties and quasi-uniformities of topological spaces, Ph.D. Thesis, Virginia Polytech. Inst. and State Univ., Blacksburg, 1978.
- W. F. Lindgren and P. Fletcher, Locally quasi-uniform spaces with countable bases, Duke Math. J. 41 (1974), 231–240. MR 341422
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 663-664
- MSC: Primary 54E15
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627716-4
- MathSciNet review: 627716