Countable-complement manifolds

Authors
Gorban Soleymanpour
Ali S Janfada
Mohammad-Ali Asadi
Urmia University
Abstract
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
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