About the space of continuous functions with open domain

Edwar Alexis Ramírez Ardila

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arXiv · 2405.09437

About the space of continuous functions with open domain

Edwar Alexis Ramírez Ardila

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Abstract

We will see how to define the metric $β$, which turns the topological space of continuous functions whose domains are open subsets of a locally compact and second countable space $X$ to values in a polish space $Y$, called $(C_{od}(X,Y),τ_{ι,D})$ into a polish space. In particular, we will present a metric for the inverse semigroup of homeomorphisms of a locally compact, Hausdorff, and second-countable space.

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Edwar Alexis Ramírez Ardila. 2026-02-09. About the space of continuous functions with open domain. https://arxiv.org/abs/2405.09437

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