The rigidity theorems of Alexandrov (1950) and Stoker (1968) are classical results in the theory of convex polyhedra.We prove analogues of them for ball-polyhedra, which are intersections of finitely many congruent balls in Euclidean 3-space.

An L-embedded Banach spaace is a Banach space which is complemented in its bidual such that the norm is additive between the two complementary parts. On such spaces we define a topology, called an abstract measure topology, which by known results coincides with the usual measure topology on preduals of finite von Neumann algebras (like L 1 ([0, 1])). Though not numerous, the known properties of...

In this paper, we investigate two L-neighborhood systems induced by an Lfuzzy topology in a complete residuated lattice L. We study the relationships among L-fuzzy topology, L-topologies and L-neighborhood systems. Finally, we give their examples. AMS Subject Classification: 03E72, 06A15, 06F07, 54A05

The network of Multi-filter Rotating Shadowband Radiometers (MFRSRs) at the Atmospheric Radiation Measurement (ARM) Program Cloud and Radiation Testbed (CART) site consists of 21 instrument sites located at Central (CF) and Extended Facilities (EF) and covering an area of approximately 3 by 4 degrees. Application of the previously developed MFRSR data analysis algorithm (Alexandrov et al. 2002a...

In the present paper we study the smooth topology and its equivalentL-topology, the corresponding L-continuous, L-open, and homeomorphism maps.We also study the concept of several separation axioms (like ST◦, ST1, ST2, andtheir strong and weak forms on the mentioned topology). Finally we investigatesome of their properties and the relations between them.MSC 2010. 39B72, 47H0...