10 citations · 11 across the 5 of their papers we have counts for
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Open and other kinds of extensions over local compactifications
Georgi Dimov
Generalizing de Vries Compactification Theorem and strengthening Leader Local Compactification Theorem, we describe the partially ordered set $(\LL(X),\le)$ of all (up to equivalen…
Open and other kinds of extensions over zero-dimensional local compactifications
Georgi Dimov
Generalizing a theorem of Ph. Dwinger, we describe the partially ordered set of all (up to equivalence) zero-dimensional locally compact Hausdorff extensions of a zero-dimensional…
A De Vries-type Duality Theorem for Locally Compact Spaces -- III
Georgi Dimov
In this paper we prove some new Stone-type duality theorems for some subcategories of the category $\ZLC$ of locally compact zero-dimensional Hausdorff spaces and continuous maps.…
A De Vries-type Duality Theorem for Locally Compact Spaces -- II
Georgi Dimov
In this paper some applications of the methods and results of its first part and of the results of M. Stone, H. de Vries, P. Roeper are given. In particular: some generalizations o…
A De Vries-type Duality Theorem for Locally Compact Spaces -- I
Georgi Dimov
A duality theorem for the category of locally compact Hausdorff spaces and continuous maps which generalizes the well-known Duality Theorem of de Vries is proved.