Frames: Topology Without Points

Aleš Pultr and Jiří Sichler
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Aleš Pultr: University of Manitoba, Department of Mathematics
Jiří Sichler: University of Caen, Department of Mathematics

Chapter Chapter 2 in Lattice Theory: Special Topics and Applications, 2014, pp 55-88 from Springer

Abstract: Abstract In classical (synthetic) geometry, lines and planes are not sets of points. They are entities in their own right, and the geometry is based on relations between them (and points, the other entities present). It is only in analytic geometry that one starts with a set and imposes on it the geometric structure by defining specific subsets.

Keywords: Compact Space; Complete Lattice; Heyting Algebra; Classical Topology; Regular Frame (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06413-0_2

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