Let G G be a finitely presented group, and let H"> H encoding="application/x-tex">H subgroup of </inl...

In this paper, the concepts of LωH-sets and LωH-closed spaces are proposed in Lω-spaces by means of (αω)−-remote neighborhood family. The characterizations of LωH-sets and LωH-closed spaces are systematically discussed. Some important properties of LωH-closed spaces, such as the LωH-closed spaces is ω-regular closed hereditary, arbitrarily multiplicative and preserving invariance under almost (...

In this paper we investigate in which cases unions of identi$able classes are also necessarily identi$able. We consider identi$cation in the limit with bounds on mindchanges and anomalies. Though not closed under the set union, these identi$cation types still have features resembling closedness. For each of them we $nd n such that (1) if every union of n − 1 classes out of U1; : : : ; Un is ide...

In this paper, we obtain a number of results related to the hard Lefschetz theorem for pseudoeffective line bundles, due Demailly, Peternell and Schneider. Our first result states that holomorphic sections produced by are in fact parallel, when Chern connection associated with singular metric is computed sense currents, corresponding multiplier ideal sheaves taken into account. proof based on c...