Torus-like products of $\lambda$ connected continua
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- by Charles L. Hagopian PDF
- Proc. Amer. Math. Soc. 53 (1975), 227-230 Request permission
Abstract:
Recently the author [5] proved that $\lambda$ connected continua $X$ and $Y$ are arc-like if and only if the topological product $X \times Y$ is disklike. Here we present an analogous theorem that generalizes the result of Fort [2] and Ganea [3] that disks are not torus-like. We prove that $\lambda$ connected continua $X$ and $Y$ are circle-like if and only if $X \times Y$ is torus-like.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 227-230
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0385818-1
- MathSciNet review: 0385818