Corrigendum to the paper by K. Sarkadi in vol. X
(1969)
Applicationes Mathematicae
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(1969)
Applicationes Mathematicae
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M. Fried, A. Schinzel (2001)
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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...
Raymond E. Smithson (1968)
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Michael Laidacker (1978)
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Sergio Macías (2007)
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We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.
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Witold Bula (1981)
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We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.
Alejandro Illanes (2011)
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Alessandro Andretta (2018)
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We give an overview of the continuum hypothesis, of its impact on mathematics, and on the foundations of set theory.
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Janusz Charatonik, Włodzimierz Charatonik (2000)
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It is shown that there is no Whitney map on the hyperspace for non-metrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X).