Symmetrical extensions and generalized nearness


Abstract


A common concept of supertopologies and nearness, called supernearness, is considered. Moreover, we will characterize those supernear spaces which can be extended to topological ones in the symmetrical case.

DOI Code: 10.1285/i15900932v22n2p93

Keywords: Topological constructs; Strict extensions; Symmetrical extensions; Supernearness; Supertopologies; Nearness; Grill-determined; Clump-determined

Classification: 18B30; 54A05; 54D35; 54E05; 54E17

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