On I-Cauchy nets and completeness
β Scribed by Pratulananda Das; Sanjoy Kr Ghosal
- Book ID
- 108286645
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 142 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
## 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