26 citations · 46 across the 21 of their papers we have counts for
22 papers
Categorical Extension of Dualities: From Stone to de Vries and Beyond, II
G. Dimov, E. Ivanova-Dimova, W. Tholen
Under a general categorical procedure for the extension of dual equivalences as presented in this paper's predecessor, a new algebraically defined category is established that is d…
Extensions of the Stone Duality to the category BooleSp
Georgi Dimov, Elza Ivanova-Dimova
In [G. Dimov and E. Ivanova-Dimova, Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces, arXiv:1901.04537v4, 1--33], extending the Stone Dualit…
Categorical Extension of Dualities: From Stone to de Vries and Beyond, I
G. Dimov, E. Ivanova-Dimova, W. Tholen
Propounding a general categorical framework for the extension of dualities, we present a new proof of the de Vries Duality Theorem for the category of compact Hausdorff…
Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces
Georgi Dimov, Elza Ivanova-Dimova
Extending the Stone Duality Theorem, we prove two duality theorems for the category ZHaus of zero-dimensional Hausdorff spaces and continuous maps. Both of them imply easily the Ta…
Viscosity solutions to Hamilton-Jacobi-Bellman equations associated with sublinear Lévy(-type) processes
Franziska Kühn
Using probabilistic methods we study the existence of viscosity solutions to non-linear integro-differential equations $$\partial_t u(t,x) - \sup_{α\in I} \bigg( b_α(x) \cdot \nabl…
On dimension and weight of a local contact algebra
G. Dimov, E. Ivanova-Dimova, I. Duentsch
As proved by Dimov [Acta Math. Hungarica, 129 (2010), 314--349], there exists a duality L between the category HLC of locally compact Hausdorff spaces and continuous maps, and the…