A remark on finite dimensional compact connected monoids
HTML articles powered by AMS MathViewer
- by L. W. Anderson and R. P. Hunter
- Proc. Amer. Math. Soc. 42 (1974), 602-606
- DOI: https://doi.org/10.1090/S0002-9939-1974-0333061-3
- PDF | Request permission
Abstract:
Let S be a compact n-dimensional monoid. Let A be a compact connected subsemigroup algebraically irreducible from the minimal ideal to the identity of S. Then there exists a closed proper ideal J such that $\dim \{ A/A \cap J\} \leqq \dim S - \dim {H_1}$.References
- L. W. Anderson and R. P. Hunter, Homomorphisms and dimension, Math. Ann. 147 (1962), 248–268. MR 146804, DOI 10.1007/BF01470743
- R. P. Hunter and L. W. Anderson, Sur les demi-groupes compacts et connexes, Fund. Math. 56 (1964), 183–187 (French). MR 172250, DOI 10.4064/fm-56-2-183-187
- Haskell Cohen, A cohomological definition of dimension for locally compact Hausdorff spaces, Duke Math. J. 21 (1954), 209–224. MR 66637
- Jane M. Day and K. H. Hofmann, Clan acts and codimension, Semigroup Forum 4 (1972), 206–214. MR 299713, DOI 10.1007/BF02570787
- Karl Heinrich Hofmann and Paul S. Mostert, Elements of compact semigroups, Charles E. Merrill Books, Inc., Columbus, Ohio, 1966. MR 0209387
- A. D. Wallace, Cohomology, dimension and mobs, Summa Brasil. Math. 3 (1953), 43–55. MR 58206
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 602-606
- MSC: Primary 22A15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0333061-3
- MathSciNet review: 0333061