Abstract We investigate the topological nilpotence degree, in sense of Henn–Lannes–Schwartz, a connected Noetherian unstable algebra R . When is mod p cohomology ring compact Lie group, Kuhn showed how this invariant controlled by centralizers elementary abelian -subgroups. By replacing -subgroups with components Lannes’ T -functor, and utilizing techniques algebras over Steenrod algebra, we ar...

in this paper, we discuss the equivalent conditions of pretopological and topological $l$-fuzzy q-convergence structures and define $t_{0},~t_{1},~t_{2}$-separation axioms in $l$-fuzzy q-convergence space. {furthermore, $l$-ordered q-convergence structure is introduced and its relation with $l$-fuzzy q-convergence structure is studied in a categorical sense}.

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{p}_{0}(x)$-valued set multifunctions ($x$ being a linear,topological space), in order to obtain egoroff and lusin type theorems forset multifunctions in the vietoris hypertopology. some mathematicalapplications are established and several physical implications of thema...

We establish the following model-theoretic characterization: profinite L-structures, the cofiltered limits of finite L-structures, are retracts of ultraproducts of finite L-structures. As a consequence, any elementary class of L-structures axiomatized by L-sentences of the form ∀~x(ψ0(~x) → ψ1(~x)), where ψ0(~x), ψ1(~x) are existencialpositives L-formulas, is closed under the formation of profi...

Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...

‎For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable‎. ‎The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space‎. ‎Under certain conditions the construction simplifies‎. ‎Examples are given when this simplification o...