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The ℋ-equivalence in a compact semigroup II

Published online by Cambridge University Press:  09 April 2009

L. W. Anderson  and
R. P. Hunter
L. W. Anderson
Affiliation:
The Pennsylvania State University
R. P. Hunter
Affiliation:
The Pennsylvania State University
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In [1] we considered various aspects of the quotient semigroup H. · H2 where H is an ℋ-class of a semigroup S. In particular, the action of the Schützenberger group of H upon SH was studied to obtain various results on the existence of subcontinua. Crucial in [1] was the notion of the (right handed) core of an ℋ-class which may be considered as a generalization of the notion of the core of a homogroup, [2].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 3 , August 1963 , pp. 288 - 293
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Anderson, L. W., and Hunter, R. P., The ℋ-Equivalence in Compact Semigroups, Bull. Belg. Math. Soc., Tome XIV (1962) 274–296Google Scholar
[2]Hunter, R. P., On homogroups and their applications to compact connected semigroups, Fund. Math., 52 (1962), 1–34.Google Scholar
[3]Steenrod, N., The topology of fibre bundles, Princeton University Press (1951).Google Scholar
[4]Anderson, L. W., and Hunter, R. P., Homomorphisms and dimension, Math. Annalen, 147, (1962) 248–268.Google Scholar
[5]Wallace, A. D., Tulane University notes, 1955.Google Scholar
[6]Hunter, R. P., On the semigroup structure of continua, Trans. A.M.S. (1958), 356.Google Scholar