منابع مشابه
Developable Spaces and Nearness Structures
Necessary and sufficient conditions on a nearness structure are provided for which the underlying topology is developable. It is also shown that a topology is developable if and only if it admits a compatible nearness structure with a countable base. Finally it is shown that a topological space is embeddable in a complete Moore space if and only if it admits a compatible nearness structure sati...
متن کاملSimilarity as Nearness: Information Quanta, Approximation Spaces and Nearness Structures
The present paper investigates approximation spaces in the context of topological structures which axiomatise the notion of nearness. Starting with the framework of information quanta which distinguishes two levels of information structures, namely property systems (the first level) and information quantum relational systems (the second level), we shall introduce the notion of Pawlak’s property...
متن کاملNearness in Approximation Spaces
The problem considered in this paper is the extension of an approximation space to include a nearness relation. Approximation spaces were introduced by Zdzis law Pawlak during the early 1980s as frameworks for classifying objects by means of attributes (features). Pawlak introduced approximations as a means of approximating one set of objects with another set of objects using an indiscernibilit...
متن کاملSome Characterizations of Developable Spaces
Two characterizations of developable spaces are proved which may be viewed as analogues, for developable spaces, of the Nagata-Smirnov metrization theorem or of the "double sequence metrization theorem " of Nagata respectively.
متن کاملCleavability and divisibility over developable spaces
Some results on cleavability theory are presented. We also show some new [16]’s results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.2307/2042434