Год выпуска: 2010 Автор: SANDIP JANA Издательство: LAP Lambert Academic Publishing Страниц: 100 ISBN: 9783843366090
Описание
Theory of exponential spaces, commonly known as hyperspace, was a very fascinating subject in Pure Mathematics in the last century. A number of mathematical geniuses was involved in the development of hyperspace theory; Hausdorff, Kuratowski, Michael, Kelley, Fell were among them, to name a few. In our sense any type of collection of subsets with some special features having a suitable topology has been designated as hyperspace. The present treatise is a colorful manifestation of various aspects of hyperspace theory. This short work has been developed for the study of hyperspaces containing H-continua, N-continua etc. as their constituent elements and finally topologisation of the collection suitably. Inspired by a special hyperspace, a new topological algebraic structure, named as “topological quasi-vector space”, has been introduced and studied with meticulous detail. ''Ideal'' of this structure has been defined and its several properties are studied. Lastly, theory of hyperspace...
