𝜎-coherent continua are hereditarily locally connected

Hagan, M. R.; Mahavier, W. S.

doi:10.1090/S0002-9939-1981-0589154-2

$\sigma$-coherent continua are hereditarily locally connected
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by M. R. Hagan and W. S. Mahavier

Proc. Amer. Math. Soc. 81 (1981), 129-132

DOI: https://doi.org/10.1090/S0002-9939-1981-0589154-2

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Abstract:

A $\sigma$-coherent continuum is one in which every descending sequence of connected sets has a connected intersection. In this paper it is proved that such continua are hereditarily locally connnected. An example is given to show that the converse is not true.

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