Concerning regular accessibility
Beatrice Aitchison (1933)
Fundamenta Mathematicae
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Beatrice Aitchison (1933)
Fundamenta Mathematicae
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Stephanie M. Boyles, Gerhard X. Ritter (1982)
Colloquium Mathematicae
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R. Wilder (1928)
Fundamenta Mathematicae
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R. Moore (1922)
Fundamenta Mathematicae
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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,...
Rudolph Hrycay (1970)
Fundamenta Mathematicae
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Dickman, Raymond F.jun. (1980)
International Journal of Mathematics and Mathematical Sciences
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J. Hunt (1980)
Fundamenta Mathematicae
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Tzannes, V. (1998)
International Journal of Mathematics and Mathematical Sciences
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Al-Shibani, A.M. (2006)
Mathematica Pannonica
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John Kline (1924)
Fundamenta Mathematicae
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The purpose of this paper is to prove: Theorem: Suppose M is a closed connected set containing more than one point such that if g is any connected subset of M, then M-g is connected. Under these conditions M is a simple closed curve. Theorem: If M is an unbounded closed connected set which remains connected upon the removal of any unbounded connected proper subset, then M is either an open curve, a ray of an open curve or a simple closed curve J plus OP, a ray of an open curve which...
K. Garg (1977)
Fundamenta Mathematicae
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R. Kapała, A. Lelek (1962)
Colloquium Mathematicae
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