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Embedding Uncountably Many Mutually Exclusive Continua into Euclidean Space

Published online by Cambridge University Press:  20 November 2018

B. J. Baker and
Michael Laidacker
B. J. Baker
Affiliation:
Lamar University, Beaumont, Texas, 77710
Michael Laidacker
Affiliation:
Lamar University, Beaumont, Texas, 77710
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Abstract

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Uncountable collections of continua of dimension m embeddable in En are investigated, where the difference between m and n is not restricted to one. Collections of isometric copies of continua equivalent to Menger universal continua and collections of continua analogous to G. S. Young's Tn -sets are the main considerations.

Keywords

57N3557N1257N1357N15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989, pp. 207 - 214
Copyright
Copyright © Canadian Mathematical Society 1989

References

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