This paper continuous the approach of developing an order-theoretic structure theory of one-dimensional continuum structures as elaborated in [Wi07] (see also [Wi83],[Wi03]). The aim is to extend the order-theoretic structure theory by a meaningful algebraization; for this, we concentrate on the real linear continuum structure with its derived concept lattice which gives rise to the so-called "real half-numbers". The algebraization approaches an ordered algebraic structure on the set of all real half-numbers to make the continuum structure of the reals more transparent and tractable. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Wille, R. (2008). An algebraization of linear continuum structures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4933 LNAI, pp. 150–157). https://doi.org/10.1007/978-3-540-78137-0_11
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