About the space of continuous functions with open domain
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917261281853440 |
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| author | Ardila, Edwar Alexis Ramírez |
| author_facet | Ardila, Edwar Alexis Ramírez |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | About the space of continuous functions with open domain Ardila, Edwar Alexis Ramírez General Topology 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. |
| title | About the space of continuous functions with open domain |
| topic | General Topology |
| url | https://arxiv.org/abs/2405.09437 |