On study of a metric on C(S^1; S^1)
RB Yadav, Srikanth KV
TL;DR
This paper introduces a new metric on the space of continuous functions from the circle to itself and explores density properties within this function space.
Contribution
It defines a specific metric on C(S^1; S^1) and investigates the density of certain subsets, providing new insights into the structure of this function space.
Findings
Defined a metric on C(S^1; S^1)
Established density results in the function space
Contributed to understanding the topology of continuous circle maps
Abstract
In this article we define a metric on C(S1; S1). Also, we give some density results in C(S^1; S^1).
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic and geometric function theory · Fixed Point Theorems Analysis