One way of representing semantics could be via a high dimensional conceptual space constructed by certain lexical semantic space models. Concepts (words), represented as a vector of other words in the semantic space, can be categorized via clustering techniques into a number of regions reflecting different contexts. The conventional clustering algorithms, e.g., K-means method, however, normally...

In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in the Wijsman hyperspace of a complete metric space which is locally R.

This paper presents a novel approach for resource finding and job allocation in a computational Grid. The proposed system is called HYGRA, for HYperspace-based Grid Resource Allocation. The basic principle involves the construction of a virtual hyperspace in which the available amount of each resource type is used as a geometric coordinate, making each Grid node representable as a point in this...

In this paper we investigate the role of the user profile in information filtering and we introduce a novel algorithm for learning the user profile based on user’s initial profile and on a queries’ interpretation using fuzzy generalization (Angryk and Petry 2003). Thousands of documents are usually retrieved by search engines for a given query during an information search on WWW. One way to pru...

An estimate for the Novak number of a hyperspace with the Vietoris topology is given. As a consequence it is shown that this cardinal function can decrease passing from a space to its hyperspace.

In this paper, we show that for an almost locally separable metrizable space X, if its Wijsman hyperspace induced by one compatible metric is Baire, then X itself must be Baire. We also provide an example to demonstrate the necessity of separability.

Hud Hudson’s The Metaphysics of Hyperspace provides a fascinating, well-argued tour through wide range of important problems and debates in contemporary metaphysics and philosophy of religion. The chapters are largely self-contained; but one overarching theme is that belief in what we might call the Hyperspace Hypothesis affords enough theoretical utility that, for those with the right sorts of...