Coverings by closed sets
Arcwise accessibility in hyperspaces
CONTENTS1. Introduction........................................................................................................ 52. Segmentwise accessibility..................................................................................... 73. Arcwise accessibility of singletons....................................................................... 84. Compacta in X which arcwise disconnect or C(X)................................ 155. Hereditary indecomposability and arcwise accessibility.....................................
On locally connected plane one-to-one continuous images of [0,∞)
Some problems concerning stability of fixed points
Absolute n-fold hyperspace suspensions
The notion of an absolute n-fold hyperspace suspension is introduced. It is proved that these hyperspaces are unicoherent Peano continua and are dimensionally homogeneous. It is shown that the 2-sphere is the only finite-dimensional absolute 1-fold hyperspace suspension. Furthermore, it is shown that there are only two possible finite-dimensional absolute n-fold hyperspace suspensions for each n ≥ 3 and none when n = 2. Finally, it is shown that infinite-dimensional absolute n-fold hyperspace suspensions...
A note on hyperspaces and the fixed point property
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