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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.12708 |
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| _version_ | 1866910507295834112 |
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| author | Krasiński, Dawid Radul, Taras |
| author_facet | Krasiński, Dawid Radul, Taras |
| contents | We demonstrate that the idempotent barycenter map, associated with a t-norm $\ast$, is open if and only if the map of max-$\ast$ convex combination is open. As a corollary, we deduce that the idempotent barycenter map is open for spaces of idempotent measures associated with any t-norm $\ast$. Nevertheless, we illustrate that the characteristics of the idempotent barycenter map, in general, depend on the specific t-norm being employed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the openness of the idempotent barycenter map related to a t-norm Krasiński, Dawid Radul, Taras General Topology Functional Analysis 52A30, 54C10, 28A33 We demonstrate that the idempotent barycenter map, associated with a t-norm $\ast$, is open if and only if the map of max-$\ast$ convex combination is open. As a corollary, we deduce that the idempotent barycenter map is open for spaces of idempotent measures associated with any t-norm $\ast$. Nevertheless, we illustrate that the characteristics of the idempotent barycenter map, in general, depend on the specific t-norm being employed. |
| title | On the openness of the idempotent barycenter map related to a t-norm |
| topic | General Topology Functional Analysis 52A30, 54C10, 28A33 |
| url | https://arxiv.org/abs/2403.12708 |