Let G0, . . . ,Gk be finite abelian groups, and let G0 ∗ · · · ∗ Gk be the join of the 0-dimensional complexes Gi . We give a characterization of the integral k-coboundaries of subcomplexes of G0 ∗ · · · ∗Gk in terms of the Fourier transform on the group G0 × · · · × Gk . This provides a short proof of an extension of a recent result of Musiker and Reiner on a topological interpretation of the ...

The first surface vibrational sum frequency generation (SFG) spectroscopic studies of amine-terminated Starburst® PAMAM G0 and G1 and acylated PAMAM G0 dendrimers at the glass–, gold–, and air–dendrimer interface are presented. Amine-terminated PAMAM G0 and G1 dendrimers as compared to the acylated PAMAM G0 dendrimer reveal significantly different surface SFG spectroscopic signatures. Raman spe...

The search for the ground state scalar glueball G0 is reviewed. Spin zero glueballs will have unique dynamical properties if the < G0|qq > amplitude is suppressed by chiral symmetry, as it is to all orders in perturbation theory: for instance, mixing of G0 with qq mesons would be suppressed, radiative Ψ decay would be a filter for new physics in the spin zero channel, and the decay G0 → KK coul...

G0 is a physiological state occupied by resting or terminally differentiated cells that have exited the cell cycle. In contrast to the well-characterized cyclin/cdk-mediated inactivation of pRb that controls the G1/S transition, little is known about regulation of the G0/G1 transition. However, pRb is likely to participate in this process because its acute somatic inactivation is sufficient for...

Let G be a graph with chromatic number (G) and maximum degree (G). A star colouring of G is a function that assigns a colour to each vertex such that adjacent vertices receive distinct colours, and there is no bichromatic 4-vertex path. The star chromatic number st(G) is the minimum number of colours in a star colouring of G. Star colourings of subdivisions of graphs are investigated. Let G0 be...

Many work was done for filiform Lie algebras defined by M. Vergne [8]. An interesting fact is that this algebras are obtained by deformations of the filiform Lie algebra Ln,m. This was used for classifications in [4]. Like filiform Lie algebras, filiform Lie superalgebras are obtained by nilpotent deformations of the Lie superalgebra Ln,m. In this paper, we recall this fact and we study even co...

Regulations of proliferation and quiescence in response to nutritional cues are important for medicine and basic biology. The fission yeast Schizosaccharomyces pombe serves as a model, owing to the shift of proliferating cells to the metabolically active quiescence (designate G0 phase hereafter) by responding to low nitrogen source. S. pombe G0 phase cells keep alive for months without growth a...

This study was undertaken to examine the cell cycle characteristics of bovine fetal and adult somatic cells (fetal fibroblasts, adult skin and muscle cells, and cumulus cells) after culture under a variety of conditions; 1) growth to 60-70% confluency (cycling), 2) serum starvation, 3) culture to confluency. Cell -cycle phases were determined by flow cytometry with propidium iodide staining ena...