Disk-like products of 𝜆 connected continua. I, II

Hagopian, Charles L.

doi:10.1090/S0002-9939-1975-0375255-8

Disk-like products of $\lambda$ connected continua. I, II
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Proc. Amer. Math. Soc. 51 (1975), 448-452 Request permission

Abstract:

A continuum $X$ is $\lambda$ connected if each two of its points can be joined by a heteditarily decomposable subcontinuum of $X$. We prove that continua $X$ and $Y$ are atriodic and hereditarily unicoherent when the topological product $X \times Y$ is disk-like. From this result and a theorem of R. H. Bing’s it follows that $\lambda$ connected continua $X$ and $Y$ are arc-like if and only if $X \times Y$ is disk-like.

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