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* Boxes Continuum* is a nice continuum.
Let
;

for each
and each
,
let

finally, let

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

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

See Nadler 10.38, p.186.

Figure (
A
)
Union of two dendrites, a non-hlc
Boxes Continuum

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

*2001-02-21*