Abstract
In this paper, a new generalization of semi-linear uniform spaces is introduced for the first time. This generalization will dispense with the chain condition imposed on a semi-linear uniform space which is given in Tallafha and Khalil (Eur J Pure Appl Math 2:231–238, 2009). We will show that several facts and results have been verified without that strong condition. Finally, we use the concept of ultrafilter and Cauchy filter to study the concept of precompact in this generalization of semi-linear uniform spaces.
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Rawshdeh, A. Precompact in a generalization of semi-linear uniform spaces. Afr. Mat. 32, 1585–1593 (2021). https://doi.org/10.1007/s13370-021-00920-7
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DOI: https://doi.org/10.1007/s13370-021-00920-7