A compact semilattice on the Hilbert cube with no interval homomorphism
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- by Gerhard Gierz PDF
- Proc. Amer. Math. Soc. 101 (1987), 592-594 Request permission
Abstract:
An example for a compact semilattice with no interval homomorphism is given. The underlying space of the semilattice is homeomorphic to the Hilbert cube.References
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- Ott-Heinrich Keller, Die Homoiomorphie der kompakten konvexen Mengen im Hilbertschen Raum, Math. Ann. 105 (1931), no. 1, 748–758 (German). MR 1512740, DOI 10.1007/BF01455844
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- J. D. Lawson, Lattices with no interval homomorphisms, Pacific J. Math. 32 (1970), 459–465. MR 256363
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 592-594
- MSC: Primary 06B30; Secondary 22A26, 54H12
- DOI: https://doi.org/10.1090/S0002-9939-1987-0911014-0
- MathSciNet review: 911014