E. Bouassida

Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia

[ 1 ] - Generalized superconnectedness

A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and preservation theorems are discussed.

[ 2 ] - Cohomology of aff(1|1) acting on the space of bilinear differential operators on the superspace IR1|1

We consider the aff(1)-module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie superalgebra aff(1) with coefficients in space Dλ,ν;µ of bilinear differential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.

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