Abstract We study a coordination game among agents in network. The choose whether to take action (e.g. adopting new technology) an uncertain environment that yields increasing value the actions of neighbours. develop algorithm fully partitions network into communities (coordination sets) within which have same propensity adopt. Our main finding is novel measure connectedness, we term “social co...

Connectedness represents the most significant and fundamental topological property. It highlights main characteristics of spaces distinguishes one topology from another. There is a constant study bipolar soft generalized (\( \mathcal{BSGTS}s \)) by presenting \(\mathcal{BS}\) \( \widetilde{\widetilde{\mathfrak{g}}} \)-connected set space in \(\mathcal{BSGTS}s\) as well it discussing some proper...

We study the condition, on a connected and locally connected geometric morphism p : E → S, that the canonical natural transformation p∗ → p! should be (pointwise) epimorphic — a condition which F.W. Lawvere [11] called the ‘Nullstellensatz’, but which we prefer to call ‘punctual local connectedness’. We show that this condition implies that p! preserves finite products, and that, for bounded mo...