Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-27T04:57:56.023Z Has data issue: false hasContentIssue false
  • English
  • Français

Semigroups acting on continua

Published online by Cambridge University Press:  09 April 2009

J. M. Day  and
A. D. Wallace
J. M. Day
Affiliation:
University of Florida and University of Miami
A. D. Wallace
Affiliation:
University of Florida and University of Miami
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A semigroup is a nonvoid Hausdorff space together with a continuous associative multiplication. (The latter phrase will generally be abbreviated to CAM and the multiplication in a semigroup will be denoted by juxta position unless the contrary is made explicit.)

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 3 , August 1967 , pp. 327 - 340
Copyright
Copyright © Australian Mathematical Society 1967

References

[CP]Clifford, A. H. and Preston, G. B., ‘The algebraic theory of semigroups’, Math. Surveys 7, (Providence, 1961).Google Scholar
[F]Faucett, W. M., ‘Topological semigroups and continua with cutpoints’, P.A.M.S. 6 (1955), 748–756.Google Scholar
[HY]Hocking, J. G. and Young, G. S., Topology (Reading, 1961).Google Scholar
[Hu]Hu, S. T., Elements of general topology (San Francisco, 1964).Google Scholar
[H]Hunter, R. P., ‘Sur les C-ensembles dans les demigroupes’, Bull. Soc. Math. Belgique 14 (1962), 190–195.Google Scholar
[K]Kelley, J. L., General topology (Princeton, 1955).Google Scholar
[KW]Koch, R. J. and Wallace, A. D. [1] ‘Maximal ideals in compact connected semigroups’, Duke J. Math. 21 (1954), 681–685.CrossRefGoogle Scholar
[KW]Koch, R. J. and Wallace, A. D. [2] ‘Admissibility of semigroup structures of continua’, T.A.M.S. 88 (1958), 277–287.Google Scholar
[L]Ljapin, E. S., Semigroups, Translations of Math. Monographs 3, (Providence, 1963).Google Scholar
[M]McShane, E. J., ‘Images of sets satisfying the condition of Baire’, Annals of Math. 51 (1950), 380–386.CrossRefGoogle Scholar
[P]Pettis, B. J., ‘Remarks on a theorem of E. J. McShane’, Bull. A.M.S. 2 (1951), 166–171.Google Scholar
[P-de M]Miranda, A. B. Paalman-de, Topological semigroups, (Mathematisch Centrum, Amsterdam, 1964).Google Scholar
[R]Remage, R. Jr, ‘Invariance and periodicity properties of nonalternating in the large transformations’, Dissertation, University of Penn., 1950, unpublished.Google Scholar
[W]Wallace, A. D. [1] ‘Lectures on topological semigroups’, (1955–1956, Noted by R. J. Koch), (1959–1960, Notes by A. L. Hudson), (1961–1962, Notes by A. L. Hudson), (1964–1965, Notes by J. M. Day).Google Scholar
[W]Wallace, A. D. [2] ‘Inverses in euclidean mobs’ Math. J. Okayama Univ. 3 (1953), 23–28.Google Scholar
[W]Wallace, A. D. [3] ‘Cohomology, dimension and mobs’, Summa Brasil Math. 3 (1953), 43–54.Google Scholar
[W]Wallace, A. D. [4] ‘Struct ideals’, P.A.M.S. 6 (1955), 634–638.CrossRefGoogle Scholar
[W]Wallace, A. D. [5] ‘The position of C-sets in semigroups’, P.A.M.S. 6 (1955), 639–642.Google Scholar
[W]Wallace, A. D. [6] ‘Relative ideals in semigroups, I’, Colloq. Math. 9 (1962), 55–61.Google Scholar
[W]Wallace, A. D. [7] ‘Relative ideals in semigroups, II’, Acta Math. 14 (1963), 137–148.Google Scholar