Absolute endpoints of chainable continua

Rosenholtz, Ira

doi:10.1090/S0002-9939-1988-0955027-2

Absolute endpoints of chainable continua
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by Ira Rosenholtz PDF

Proc. Amer. Math. Soc. 103 (1988), 1305-1314 Request permission

Abstract:

An endpoint of chainable continuum is a point at which it is always possible to start chaining that continuum. Some endpoints appear to have the property that one is almost "forced" to start (or finish) the chaining at these points. This paper characterizes these "absolute endpoints", and this characterization is used to show that in a chainable continuum locally connected at $p$ is equivalent to connected im kleinen at $p$.

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