Abstract:Abstract.We introduce the notion of a nonarchimedean size function similar to the notion of a size function introduced by Marcos. We describe a class of ring topologies on fields that are complete, neither first countable nor locally bounded, but have topologically nilpotent elements.Two types of valuations are commonly considered: real-valued valuations (also called absolute values) and nonarchimedean valuations (also called Krull valuations). In [3] Marcos introduced axioms for a function which we will call … Show more
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