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* Semicircle Continuum* is a nice continuum.
Let
;

for each and each
, let

for each and each
, let

let

1) *X* is an example of an hlc continuum which is
not regular.

2) *X* is the union of two regular continua.

See Nadler 10.59, p.193.

Figure (
A
)
Semicircle Continuum

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-02-21*