A Glance into the Anatomy of Monotonic Maps

31 Aug 2019 Buzyakova Raushan

Given an autohomeomorphism on an ordered topological space or its subspace, we show that it is sometimes possible to introduce a new topology-compatible order on that space so that the same map is monotonic with respect to the new ordering. We note that the existence of such a re-ordering for a given map is equivalent to the map being conjugate (topologically equivalent) to a monotonic map on some homeomorphic ordered space... (read more)

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  • GENERAL TOPOLOGY