Volume 9, Issue 2 (9-2023)                   mmr 2023, 9(2): 31-42 | Back to browse issues page

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Countable-complement manifolds
Gorban Soleymanpour1 , Ali S Janfada 2, Mohammad-Ali Asadi1
1- Urmia University
2- Urmia University , asjanfada@gmail.com
Abstract:   (460 Views)
In this article, the Zariski topology is extended as the Zariski-countable topology. This imposes a new kind of manifolds using the countable-complement topology that the algebraic varieties are the analytic case of them. The advantage of this work is to convert any non-countable field to a topological field by Zariski-countable topology. This conversion is not possible by the usual Zariski topology.
Keywords: Algebraic varieties, Zariski topology, Topological field
Full-Text [PDF 305 kb]   (164 Downloads)    
Type of Study: Other | Subject: Mat
Received: 2021/03/7 | Revised: 2024/02/17 | Accepted: 2021/08/31 | Published: 2023/12/3 | ePublished: 2023/12/3
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