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Embeddings of Topological Products of Circularly Chainable Continua

Published online by Cambridge University Press:  20 November 2018

L. Fearnley
L. Fearnley*
Affiliation:
Brigham Young University and University of Wisconsin
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In a recent paper (5), the author has established the Euclidean spaces of least dimension in which the topological products of finite collections of k-cell-like continua can be embedded. Specifically, it was shown that, for each pair of positive integers k and n, the topological product of any collection of nk-cell-like continua can be embedded in Euclidean space of dimension k(n + 1). This result includes a theorem of Bennett (1) that the topological product of any finite collection of n snakelike continua can be embedded in Euclidean space of dimension n + 1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 715 - 723
Copyright
Copyright © Canadian Mathematical Society 1966

References

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