Keywords
- Topological Space
- Product Theorem
- Connected Space
- Open Subspace
- Scott Topology
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Alexandrov, P.S., Diskrete Räume.Mat.Sb. 2(1937), 501–519
Andima, Susan J. and W.J. Thron, Order-induced topological properties. Pacific J.Math. 75(1978), 297–318.
Batbedat, A., Le langage des schemas pour les demigroupes commutatifs. Semigroup Forum.
Bruns, G., Darstellungen und Erweiterungen geordneter Mengen I. und II.J.reine angew.Math. 209 (1962), 167–200, and, resp., 210 (1962), 1–23.
Büchi, J.R., Representation of complete lattices by sets. Portugaliae Math.11(1952), 151–167.
Georgescu, G., and B. Lungulescu, Sur les propriété topologiques des structures ordonnés. Rev.Roumaine Math. Pures Appl. 14(1969), 1453–1456.
Hoffmann, R.-E., Sobrification of partially ordered sets. Semigroup Forum.
—, On the sobrification remainder SX-X. Pacific J.Math.
—, Essentially complete T0-spaces. Preprint.
Kowalsky, H.J., Verbandstheoretische Kennzeichnung topologischer Räume. Math.Nachr. 21(1960), 297–318.
Leuschen, J.E. and B.T. Sims, Stronger forms of connectivity. Rend.Circ.Mat.Palermo (II)21(1972),255–266.
Levine, N., Strongly connected sets in topology. Amer. Math.Monthly 72(1965), 1098–1101.
Papert, S., Which distributive lattices are lattices of closed sets? Proc. Cambridge Phil.Soc. 55 (1959), 172–176.
Preuß, G., Allgemeine Topologie. Springer Verlag: Berlin-Heidelberg-New York 1972.
Scott, D., Continuous lattices. In: Springer Lect.Notes in Math. 274(1972), 97–136.
Thron, W.J., Lattice-equivalence of topological spaces. Duke Math.J. 29(1962), 671–679.
SCS (Seminar on Continuity in Semi-Lattices), A compendium of continuous lattices. Part I (preliminary version). By K.H.Hofmann, J.Lawson, G.Gierz (TH Darmstadt 1978).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Hoffmann, RE. (1979). Topological spaces admitting a "Dual". In: Herrlich, H., Preuß, G. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065268
Download citation
DOI: https://doi.org/10.1007/BFb0065268
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09503-3
Online ISBN: 978-3-540-35193-1
eBook Packages: Springer Book Archive
