G-functors, G-posets and homotopy decompositions of G-spaces

G-Frames, g-orthonormal bases and g-Riesz bases

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

On the Equivariant Homotopy of Free Abelian Groups on G-spaces and G-spectra

Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result

In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.

A Covering Homotopy Theorem and the Classification of G-spaces.

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Calibrations on spaces with G×G–structure

In these notes we give an introduction to the concept of spaces with G×G–structure and their structured submanifolds. These objects generalise the classical notion of a calibrated submanifold. Therefore, they are interesting from a string theory viewpoint as they are relevant to describe D–branes in string compactifica-tions on backgrounds with fluxes.