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# $\sigma$-Coherent Continua are Hereditarily Locally Connected

M. R. Hagan and W. S. Mahavier
Proceedings of the American Mathematical Society
Vol. 81, No. 1 (Jan., 1981), pp. 129-132
DOI: 10.2307/2044004
Stable URL: http://www.jstor.org/stable/2044004
Page Count: 4
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 connected. An example is given to show that the converse is not true.