The domain rank of open surfaces of infinite genus
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- by Richard J. Tondra PDF
- Proc. Amer. Math. Soc. 28 (1971), 581-583 Request permission
Abstract:
In a recent paper it was shown that an open surface, i.e. a connected $2$-manifold without boundary, has finite domain rank if and only if it has finite genus. In the present paper, it is shown that the domain rank of any open surface of infinite genus is countably infinite.References
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- Richard J. Tondra, Characterization of connected $2$-manifolds without boundary which have finite domain rank, Proc. Amer. Math. Soc. 22 (1969), 479–482. MR 244971, DOI 10.1090/S0002-9939-1969-0244971-8
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 581-583
- MSC: Primary 57A05
- DOI: https://doi.org/10.1090/S0002-9939-1971-0296920-3
- MathSciNet review: 0296920