Displaying similar documents to “One dimensional locally setwise homogeneous continua”

On embedding curves in surfaces

Bajguz, W.

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Contrary to a statement of Borsuk the author proves that every locally plane Peano continuum is embeddable into a 2-manifold.

The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets

J. C. Mayer, Lex G. Oversteegen, E. D. Tymchatyn

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CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the...

Concerning continuous curves

R. Wilder (1925)

Fundamenta Mathematicae

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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;