A survey on topological properties of $P(K)$ spaces
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909244962373632 |
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| author | Plebanek, Grzegorz |
| author_facet | Plebanek, Grzegorz |
| contents | Given a compact space $K$, we denote by $P(K)$ the space of all Radon probability measures on $K$, equipped with the $weak^\ast$ topology inherited from $C(K)^\ast$. For nonmetrizable compacta $K$ even basic properties of $P(K)$ spaces depend of additional axioms of set theory. We discuss here older and quite recent results on the subject. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14755 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A survey on topological properties of $P(K)$ spaces Plebanek, Grzegorz General Topology Given a compact space $K$, we denote by $P(K)$ the space of all Radon probability measures on $K$, equipped with the $weak^\ast$ topology inherited from $C(K)^\ast$. For nonmetrizable compacta $K$ even basic properties of $P(K)$ spaces depend of additional axioms of set theory. We discuss here older and quite recent results on the subject. |
| title | A survey on topological properties of $P(K)$ spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2312.14755 |