Five Circles: Real Analysis Theorems equivalent to Completeness
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915736727846912 |
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| author | Cantuba, Rafael |
| author_facet | Cantuba, Rafael |
| contents | This is an exposition of the work of O. Riemenschneider about five ''circles'' of implications relating real analysis theorems each equivalent to the Dedekind completeness of the real field. These circles cover five elements of real function theory: convergence, connectedness, differentiability, compactness and integration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11681 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Five Circles: Real Analysis Theorems equivalent to Completeness Cantuba, Rafael History and Overview 26-01 This is an exposition of the work of O. Riemenschneider about five ''circles'' of implications relating real analysis theorems each equivalent to the Dedekind completeness of the real field. These circles cover five elements of real function theory: convergence, connectedness, differentiability, compactness and integration. |
| title | Five Circles: Real Analysis Theorems equivalent to Completeness |
| topic | History and Overview 26-01 |
| url | https://arxiv.org/abs/2601.11681 |