The achiral planar (maximum deviation 0.014 Å) title compound, C(10)H(6)Cl(2)O(2), crystallizes in the chiral space group P2(1)2(1)2(1) in an arrangement incorporating conventional O-H⋯O hydrogen bonding leading to a supra-molecular chain.

In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spa...

This paper aims to use Cartan's original method in proving Theorem A and B on closed cubes provide a different proof of the vanishing sheaf cohomology over cube if either (i) degree exceeds its real dimension or (ii) is (locally) constant positive. In first case, we can further Godement's argument show topological paracompact manifold less than equal dimension.

We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over paracompact manifolds, there is a principal fibre bundle isomorphism between pull-backs obtained from homoto...