The aim of this note is to determine certain closed subgroups of the absolute Galois group G(Q) of Q, in particular subgroups generated by involutions (=elements of order 2). Geyer [3,4.1] has shown, in a far more general set-up, that subgroups generated by finitely many involutions are almost always free profinite products of copies of Z/22. To be precise, fix an involution E E G(Q); for almos...

In this paper, another generalized class of τ⋆ called mildly Igω-closed sets is introduced and the notion of mildly Ig-ω-open sets in ideal topological spaces is introduced and studied. The relationships of mildly Igω-closed sets with various other sets are investigated.

The generalized closed sets in point set topology have been found considerable interest among general topologists. In this paper, we introduce and study topological properties of g*Λ closed and open sets and its relationships with other generalized closed sets are investigated.

let $g$ be a connected graph, and let $d[g]$ denote the double graph of $g$. in this paper, we first derive closed-form formulas for different distance based topological indices for $d[g]$ in terms of that of $g$. finally, as illustration examples, for several special kind of graphs, such as, the complete graph, the path, the cycle, etc., the explicit formulas for some distance based topologica...

‎let $g$ be a locally compact abelian group‎. ‎the concept of a generalized multiresolution structure (gms) in $l^2(g)$ is discussed which is a generalization of gms in $l^2(mathbb{r})$‎. ‎basically a gms in $l^2(g)$ consists of an increasing sequence of closed subspaces of $l^2(g)$ and a pseudoframe of translation type at each level‎. ‎also‎, ‎the construction of affine frames for $l^2(g)$ bas...