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On the dispersion sets of connected point-sets

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The purpose of the present paper is to investigate some of the properties of connected sets that have finite dispersion sets.
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Concerning continuous curves

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The present paper has three main objects: 1. to study the analogy between ordinary two-dimensional space and a plane continuous curve; 2. to characterize and analyze the boundaries of the domains complementary to a plane continuous curve; 3. to give a new characterization of continuous curves suitable for any number of dimensions;
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A theorem on continua

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The purpose of this paper is to prove Theoreme: Of two concentric circles C_1 and C_2, let C_1 be the smaller. Denote by H the point set which is the sum of C_1, C_2, and the annular domain bounded by C_1 and C_2. Let M be a continuum which contains a point A interior to C_1 and a point B exterior to C_2. If N is any connected subset of M containing A and B, N will contain at least one point of some continuum which is a subset of M and H, and which has at least one point in common with each of the circles C_1 and C_2.
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A converse of a theorem of E. H. Bing and its generalization

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On the imbedding of subsets of a metric space in Jordan continua

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The strong symmetrical cut sets of closed euclidean n-space

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Concerning a problem of K. Borsuk

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On free subsets of $E_n$

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