Janusz J. Charatonik, Alejandro Illanes
Homotopy properties of curves

Comment.Math.Univ.Carolinae 39,3 (1998) 573-580.

Abstract: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.

Keywords: continuum, contractible, curve, deformation, dendroid, fixed, homotopy, steady
AMS Subject Classification: 54E40, 54F15, 54F50