✦ LIBER ✦

Small Cauchy completions

✍ Scribed by S.R. Johnson

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 573 KB
Volume: 62
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90019-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Products of CAUCHY Completions

✍ D. C. Kent; R. Ruiz de Eguino 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 540 KB

## Abstract We investigate conditions under which the completion of a product of CAUCHY spaces is equivalent to the product of the completions. Necessary and sufficient conditions are given for the WYLER completion to commute with products. The natural completion and natural ordered completion are

Cauchy completions of nearness frames

✍ Sung Sa Hong; Young Kyoung Kim 📂 Article 📅 1995 🏛 Springer 🌐 English ⚖ 391 KB

Cauchy completions of MV-algebras

✍ Richard N. Ball; George Georgescu; Ioana Leuştean 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 481 KB

Directed Sets and Malitz-Cauchy-Completi

Directed Sets and Malitz-Cauchy-Completions

✍ Roland Hinnion 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 1023 KB

## Abstract This is a study of the set of the Malitz‐completions (which are a special case of Cauchy‐completions) of a given infinite first‐order structure, put in relation with properties of directed sets.

On the Cauchy completeness of the constr

On the Cauchy completeness of the constructive Cauchy reals

✍ Robert S. Lubarsky 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB

## Abstract It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences of rationals) are not Cauchy complete. Related results are also shown, such as that a Cauchy sequence of rationals may not have a modulus of c

A Cauchy completion for function rings

✍ K. W. Armstrong 📂 Article 📅 1969 🏛 Springer-Verlag 🌐 French ⚖ 488 KB