Molecular topological invariants of certain chemical networks

On Certain New Topological Invariants of a Manifold.

of the surfaces z, with the property that a curve y9 intersects a surface yj once or zero times, modulo T, according as i is equal to or different from j. In other words, the intersection of y9 with yj is determined by the coefficient of ysyj in the bilinear form ytyj (mod x) Let 7rt' denote the number of times, modulo r, that a curve y9 cuts the surface zj bounded by y. The numbers 7r-' are th...

Topological Centers of Certain Banach Module Actions

Erratum: Topological Centres of Certain Banach Module Actions

Topological Centers and Factorization of Certain Module Actions

Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule with the left and right module actions $pi_ell: Atimes Xrightarrow X$ and $pi_r: Xtimes Arightarrow X$, respectively. In this paper, we  study  the topological centers of the left module action $pi_{ell_n}: Atimes X^{(n)}rightarrow X^{(n)}$ and the right module action $pi_{r_n}:X^{(n)}times Arightarrow X^{(n)}$,  which inherit from th...

Boxicity and topological invariants

The boxicity of a graph G = (V,E) is the smallest integer k for which there exist k interval graphs Gi = (V,Ei), 1 ≤ i ≤ k, such that E = E1 ∩ · · · ∩ Ek. Equivalently, the boxicity of G is the smallest integer d ≥ 1 such that G is the intersection graph of a collection of boxes in R (a box in R the cartesian product of d closed intervals of the real line). In the first part of the talk, I will...