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math.GN2015
Topological Representation of Precontact Algebras and a Connected Version of the Stone Duality Theorem -- I
Georgi Dimov, Dimiter Vakarelov
The notions of a {\em 2-precontact space}\/ and a {\em 2-contact space}\/ are introduced. Using them, new representation theorems for precontact and contact algebras are proved. It…
math.GN2015
On the investigations of Ivan Prodanov in the theory of abstract spectra
Georgi Dimov, Dimiter Vakarelov
The results of Iv. Prodanov on abstract spectra and separative algebras were announced in the journal "Trudy Mat. Inst. Steklova", 154, 1983, 200--208, but their proofs were never…