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A continuum
is said to be acyclic provided that each
mapping from
into the unit circle
is
homotopic to a constant mapping, i.e., for all mappings
and
there exists a mapping
such
that for each point
we have
and
.
Next: almost chainable
Up: Definitions
Previous: absolutely terminal continuum
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30