Admissibility of semigroup structures on continua
HTML articles powered by AMS MathViewer
- by R. J. Koch and A. D. Wallace
- Trans. Amer. Math. Soc. 88 (1958), 277-287
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095223-8
- PDF | Request permission
References
- A. H. Clifford, Semigroups containing minimal ideals, Amer. J. Math. 70 (1948), 521–526. MR 25476, DOI 10.2307/2372195
- Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. 21 (1954), 209–224. MR 66637 Eilenberg and Steenrod, Foundations of algebraic topology, Princeton, 1952.
- W. M. Faucett, Topological semigroups and continua with cut points, Proc. Amer. Math. Soc. 6 (1955), 748–756. MR 71713, DOI 10.1090/S0002-9939-1955-0071713-1
- W. M. Faucett, Compact semigroups irreducibly connected between two idempotents, Proc. Amer. Math. Soc. 6 (1955), 741–747. MR 71712, DOI 10.1090/S0002-9939-1955-0071712-X
- W. M. Faucett, R. J. Koch, and K. Numakura, Complements of maximal ideals in compact semigroups, Duke Math. J. 22 (1955), 655–661. MR 72425
- F. Burton Jones, Concerning non-aposyndetic continua, Amer. J. Math. 70 (1948), 403–413. MR 25161, DOI 10.2307/2372339
- R. J. Koch, On monothetic semigroups, Proc. Amer. Math. Soc. 8 (1957), 397–401. MR 87033, DOI 10.1090/S0002-9939-1957-0087033-7
- R. J. Koch and A. D. Wallace, Maximal ideals in compact semigroups, Duke Math. J. 21 (1954), 681–685. MR 63381 K. Kuratowski, Topologie II, Warsaw, 1950. R. L. Moore, Foundations of point set theory, New York, 1932.
- Paul S. Mostert and Allen L. Shields, One-parameter semigroups in a semigroup, Trans. Amer. Math. Soc. 96 (1960), 510–517. MR 116074, DOI 10.1090/S0002-9947-1960-0116074-0
- D. Rees, On semi-groups, Proc. Cambridge Philos. Soc. 36 (1940), 387–400. MR 2893
- A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95–112. MR 67907, DOI 10.1090/S0002-9904-1955-09895-1
- A. D. Wallace, The position of $C$-sets in semigroups, Proc. Amer. Math. Soc. 6 (1955), 639–642. MR 71709, DOI 10.1090/S0002-9939-1955-0071709-X
- A. D. Wallace, Cohomology, dimension and mobs, Summa Brasil. Math. 3 (1953), 43–55. MR 58206
- A. D. Wallace, One-dimensional homogeneous clans are groups, Nederl. Akad. Wetensch. Proc. Ser. A. 58 = Indag. Math. 17 (1955), 578–580. MR 0074768
- A. D. Wallace, Inverses in Euclidean mobs, Math. J. Okayama Univ. 3 (1953), 23–28. MR 62137
- A. D. Wallace, The Rees-Suschkewitsch structure theorem for compact simple semigroups, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 430–432. MR 79009, DOI 10.1073/pnas.42.7.430 —, Retraction in semigroups, Pacific J. Math (to appear).
- L. E. Ward Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954), 144–161. MR 63016, DOI 10.1090/S0002-9939-1954-0063016-5
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 88 (1958), 277-287
- MSC: Primary 22.05
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095223-8
- MathSciNet review: 0095223