The main problem addressed in this paper is how to help learners construct knowledge in exploring hyperspace provided by existing hypermedia/hypertext-based resources on the World Wide Web. Knowledge construction involving reflection needs an awareness of exploration goals, i.e., the reasons why learners have explored Web pages. The authors designed a learning tool called interactive history, w...

Let X be a non-metric continuum, and C(X) the hyperspace of subcontinua of X. It is known that there is no Whitney map on the hyperspace 2 for non-metrizable Hausdorff compact spaces X. On the other hand, there exist non-metrizable continua which admit and the ones which do not admit a Whitney map for C(X). In this paper we investigate the properties of non-metrizable continua which admit a Whi...

In this manuscript the concept of hyperspace is revisited. The main purpose to study hyperconvergence and continuity orbital limit set functions for semigroup action on completely regular space. Some general facts Hausdorff Kuratowski are presented.

We present introductory considerations and analysis toward computing applications based on the recently introduced deterministic logic scheme with random spike (pulse) trains [Phys. Lett. A 373 (2009) 2338–2342]. Also, in considering the questions, “why random?” and “why pulses?”, we show that the random pulse based scheme provides the advantages of realizing multivalued deterministic logic. Pu...