Not Every Near Family is Contained in a Clan
- 1 January 1975
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 47 (1) , 237-238
- https://doi.org/10.2307/2040239
Abstract
In this note we solve an open problem concerning near structures and show that, unlike proximities and contiguities, not every near structure is induced by an elementary one.Keywords
This publication has 4 references indexed in Scilit:
- Nearness Structures and Proximity ExtensionsTransactions of the American Mathematical Society, 1975
- Reflective functors via nearnessFundamenta Mathematicae, 1974
- On a Problem of F. Riesz Concerning Proximity StructuresProceedings of the American Mathematical Society, 1973
- Proximity approach to extension problemsFundamenta Mathematicae, 1971