A short nonstandard proof of the Doob-Meyer and Dol{é}ans-Dade theorems
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912799062491136 |
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| author | Matsunaga, Takashi |
| author_facet | Matsunaga, Takashi |
| contents | Using nonstandard analysis, a very short and elementary proof of the Doob-Meyer decomposition and the Dol{é}ans Dade theorems is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A short nonstandard proof of the Doob-Meyer and Dol{é}ans-Dade theorems Matsunaga, Takashi Logic Using nonstandard analysis, a very short and elementary proof of the Doob-Meyer decomposition and the Dol{é}ans Dade theorems is provided. |
| title | A short nonstandard proof of the Doob-Meyer and Dol{é}ans-Dade theorems |
| topic | Logic |
| url | https://arxiv.org/abs/2508.17168 |