Displaying similar documents to “Embedding of a planar rational compactum into a planar continuum with the same rim-type”

Planar rational compacta

L. Feggos, S. Iliadis, S. Zafiridou (1995)

Colloquium Mathematicae

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In this paper we consider rational subspaces of the plane. A rational space is a space which has a basis of open sets with countable boundaries. In the special case where the boundaries are finite, the space is called rim-finite.

Containing spaces for planar rational compacta

J. C. Mayer, E. D. Tymchatyn

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CONTENTS1. Introduction.............................................................................52. Ordered scattered spaces......................................................6 2.1. Topological type..................................................................6 2.2. Ordered spaces..................................................................6 2.3. Rim-type.............................................................................9 2.4. Disk partitions.....................................................................93....

Universal rational spaces

J. C. Mayer, E. D. Tymchatyn

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CONTENTS1. Introduction......................................................................52. Rim-type and decompositions..........................................83. Defining sequences and isomorphisms..........................184. Embedding theorem.......................................................265. Construction of universal and containing spaces...........326. References....................................................................39