Given a Schubert variety S contained in Grassmannian Gk(Cl), we show how to obtain further information on the direct summands of derived pushforward Rπ⁎QS˜ given by application decomposition theorem suitable resolution singularities π:S˜→S. As by-product, Poincaré polynomial expressions are obtained along with an algorithm which computes unknown terms such and shows that actual number happens b...

to demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the banach-zareckitheorem is presented on the basis of the radon-nikodym theoremwhich emphasizes on measure-type properties of the lebesgueintegral. the banach-zarecki theorem says that a real-valuedfunction $f$ is absolutely continuous on a finite closed intervalif and only if it is continuo...