Mappings onto the plane
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- by Dix H. Pettey PDF
- Trans. Amer. Math. Soc. 157 (1971), 297-309 Request permission
Erratum: Trans. Amer. Math. Soc. 162 (1971), 473.
Abstract:
In this paper, we show that if $X$ is a connected, locally connected, locally compact topological space and $f$ is a 1-1 mapping of $X$ onto ${E^2}$, then $f$ is a homeomorphism. Using this result, we obtain theorems concerning the compactness of certain mappings onto ${E^2}$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 157 (1971), 297-309
- MSC: Primary 54.75
- DOI: https://doi.org/10.1090/S0002-9947-1971-0275395-9
- MathSciNet review: 0275395