Timeline for Weak Archimedean property instead of Archimedean property
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 19 at 20:51 | comment | added | Mohsen Shahriari | @MohammadTahmasbi You're welcome. Indeed, if you're familiar with models in which the "classical reals" $ \mathbb R ^ { \text e } $ are not isomorphic to the "bounded extended reals" $ \mathbb R ^ { \text {be} } $ (also called McNeil reals), you can find there asymptomatically regular sequences of classical reals that are not convergent (and thus not Cauchy either). | |
| Oct 19 at 2:52 | comment | added | Mohammad Tahmasbi | Nice answer. It solves the problem. We can't show that $(b_n)$ is a Cauchy sequence (regardless of having a modulus) using weak Archimedean property instead of Archimedean property. Thanks. | |
| Oct 19 at 2:34 | vote | accept | Mohammad Tahmasbi | ||
| Oct 18 at 15:22 | history | answered | Mohsen Shahriari | CC BY-SA 4.0 |