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Keywords:
continuum; contractible; curve; deformation; dendroid; fixed; homotopy; steady
continuum; contractible; curve; deformation; dendroid; fixed; homotopy; steady
Summary:
Conditions are investigated that imply noncontractibility of curves. In particular, a plane noncontractible dendroid is constructed which contains no homotopically fixed subset. A new concept of a homotopically steady subset of a space is introduced and its connections with other related concepts are studied.
References:
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