References
Aigner, M.,Combinatorial theory. Springer-Verlag, Berlin/Heideiberg/New York, 1919.
Balbes, R. andDwinger, P.,Distributive lattices. Univ. of Missouri Press, Columbia, 1974.
Barwise, J. (ed.),Handbook of mathematical logic. North-Holland Publishing Company, Amsterdam/New York/Oxford, 1977.
Birkhoff, G.,Lattice theory Third edition. American Mathematical Society, Providence, R.I., 1967.
Crawley, P. andDilworth, R. P.,Algebraic theory of lattices. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973.
Erné, M.,Einführung in die Ordnungstheorie. B.I.-Wissenschaftsverlag, Mannheim/Wien/Zürich, 1982.
Erné, M.,Topologie. Ausarbeitung einer im Sommersemester 1984 gehaltenen Vorlesung. Hannover, 1984.
Ganter, B.andWille, R.,Skriptum zur Vorlesung “Formale Begriffsanalyse”. Darmstadt, 1987.
Gierz, G., Hofmann, H., Keimel, K., Lawson, J. D., Mislove, M. andScott, D. S.,A compendium of continuous lattices. Springer-Verlag, Berlin/Heidelberg/New York, 1980.
Gumm, H. P. andPoguntke, W.,Boolesche Algebra. B.I.-Wissenschaftsverlag, Mannheim/Wien/Zürich, 1981.
Hartung, G.,Darstellung beschränkter Verbände als Verbände offener Begriffe. Diplomarbeit. Darmstadt, 1989.
Herrlich, H. andStrecker, G. E.,Category theory. Allyn and Bacon Inc., Boston, 1973.
Johnstone, P. T.,Stone spaces. Cambridge University Press, Cambridge/New York/Melbourne, 1982.
Kelley, J. L.,General topology. D. Van Nostrand Company, Inc., Princeton, N.J./Toronto/London/Melbourne, 1968.
Priestley, H. A.,Representation of distributive lattices by means of ordered Stone spaces. Bull. London Math. Soc.,2 (1970), 186–190.
Reuter, K. andWille, R.,Complete congruence relations of concept lattices. Acta Sic. Math.,51 (1987), 319–327.
Stahl, J. andWille, R.,Preconcepts and set representation of contexts. In: W. Gaul and M. Schader (eds.): Classification as a tool of research. Elsevier Science Publishers B. V. (North-Holland), Amsterdam, 1986, 431–438.
Stone, M. H.,Topological representations of distributive lattices and Brouwerian logics. Časopis pěst, mat.,67 (1937), 1–25.
Urquhart, A.,A topological representation theory for lattices. Algebra Universalis,8 (1978), 45–58.
Wille, R.,Restructuring lattice theory: an approach based on hierarchies of concepts. In: I. Rival (ed.): Ordered sets. Reidel, Dordrecht/Boston, 1982, 445–470.
Wille, R.,Subdirect decomposition of concept lattices. Algebra Universalis,17 (1983), 275–287.
Wille, R.,Complete tolerance relations of concept lattices. In: G. Eigenthaler, H. K. Kaiser, W. B. Müller and W. Nöbauer (eds.): Contributions to general algebra3. Hölder-Pichler-Tempsky, Wien, 1985, 397–415.
Wille, R.,Tensorial decomposition of concept lattices. ORDER2 (1985), 81–95.
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Hartung, G. A topological representation of lattices. Algebra Universalis 29, 273–299 (1992). https://doi.org/10.1007/BF01190610
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DOI: https://doi.org/10.1007/BF01190610