×

zbMATH — the first resource for mathematics

The spectral theory of distributive continuous lattices. (English) Zbl 0402.54043

MSC:
54H12 Topological lattices, etc. (topological aspects)
06D20 Heyting algebras (lattice-theoretic aspects)
06F30 Ordered topological structures
06D05 Structure and representation theory of distributive lattices
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] B. J. Day and G. M. Kelly, On topologically quotient maps preserved by pullbacks or products, Proc. Cambridge Philos. Soc. 67 (1970), 553 – 558. · Zbl 0191.20801
[2] Gerhard Gierz and Klaus Keimel, A lemma on primes appearing in algebra and analysis, Houston J. Math. 3 (1977), no. 2, 207 – 224. · Zbl 0359.06015
[3] M. Hochster, Prime ideal structure in commutative rings, Trans. Amer. Math. Soc. 142 (1969), 43 – 60. · Zbl 0184.29401
[4] Karl Heinrich Hofmann and Klaus Keimel, A general character theory for partially ordered sets and lattices, American Mathematical Society, Providence, R.I., 1972. Memoirs of the American Mathematical Society, No. 122. · Zbl 0243.18005
[5] Karl H. Hofmann and Jimmie D. Lawson, Irreducibility and generation in continuous lattices, Semigroup Forum 13 (1976/77), no. 4, 307 – 353. · Zbl 0354.06004
[6] Karl Heinrich Hofmann, Michael Mislove, and Albert Stralka, The Pontryagin duality of compact \?-dimensional semilattices and its applications, Lecture Notes in Mathematics, Vol. 396, Springer-Verlag, Berlin-New York, 1974. · Zbl 0281.06004
[7] Karl Heinrich Hofmann and Albert Stralka, The algebraic theory of compact Lawson semilattices. Applications of Galois connections to compact semilattices, Dissertationes Math. (Rozprawy Mat.) 137 (1976), 58. · Zbl 0359.06016
[8] John R. Isbell, Function spaces and adjoints, Math. Scand. 36 (1975), no. 2, 317 – 339. · Zbl 0309.54016
[9] John R. Isbell, Meet-continuous lattices, Symposia Mathematica, Vol. XVI (Convegno sui Gruppi Topologici e Gruppi di Lie, INDAM, Rome, 1974) Academic Press, London, 1975, pp. 41 – 54.
[10] Jimmie D. Lawson, Intrinsic topologies in topological lattices and semilattices, Pacific J. Math. 44 (1973), 593 – 602. · Zbl 0253.06013
[11] A. S. Ward, Problem in “Topology and its applications”, (Proceedings Herceg, Nov., 1968), Belgrade, 1969, p. 352.
[12] O. Wyler, Algebraic theories of continuous lattices (to appear). · Zbl 0463.06008
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.