The domain rank of a surface is countable
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- by Richard J. Tondra PDF
- Proc. Amer. Math. Soc. 48 (1975), 483-490 Request permission
Abstract:
In this paper it is shown that any surface has at most countably infinite domain rank.References
- 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
- Richard J. Tondra, Surfaces of finite domain rank, Proc. Amer. Math. Soc. 26 (1970), 181–184. MR 267544, DOI 10.1090/S0002-9939-1970-0267544-8
- Richard J. Tondra, The domain rank of open surfaces of infinite genus, Proc. Amer. Math. Soc. 28 (1971), 581–583. MR 296920, DOI 10.1090/S0002-9939-1971-0296920-3
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 483-490
- MSC: Primary 57A05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0365574-3
- MathSciNet review: 0365574