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Containing spaces for planar rational compacta

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

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

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

CONTENTS1. Introduction.................................................................................................................................................52. Partitioning Peano continua......................................................................................................................103. Peano continua and cross-connectedness...............................................................................................184. The characterization of the Menger curve.................................................................................................285....

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