Concerning S-regions in locally connected continua
Gordon Whyburn (1933)
Fundamenta Mathematicae
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Displaying similar documents to “Concerning regular accessibility”
Concerning S-regions in locally connected continua
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Charatonik, J.J. (1996)
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R. Moore (1922)
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Sierpinski has shown (Wacław Sierpiński Sur une condition pour qu'un continu soit une courbe jordanienne, Fundamenta Mathematicae I (1920), pp. 44-60) that in order that a closed and connected set of points M should be a continuous curve it is necessary and sufficient that, for every positive number ϵ, the connected point-set M should be the sum of a finite number of closed and connected point-sets each of diameter less than ϵ. It follows that, as applied to point-sets which are closed,...
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Charatonik, Janusz J., Illanes, Alejandro (2002)
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Local connectivity, open homogeneity and hyperspaces.
J. J. Charatonik (1993)
Revista Matemática de la Universidad Complutense de Madrid
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In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua...