Two results on real continuous bicharacters
โ Scribed by M. M. Lesokhin; N. S. Rasulov
- Book ID
- 110561170
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 109 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we extend computability theory to the spaces of continuous, upper semi-continuous and lower semi-continuous real functions. We apply the framework of TTE, Type-2 Theory of E ectivity, where not only computable elements but also computable functions on the spaces can be considered. Firs
We prove the following results concerning the space ฯ โช {p}, where p is an ultrafilter on ฯ: (i) There are ultrafilters p on ฯ with the property that every compactification of ฯ โช {p} contains a copy of ฮฒฯ. (ii) There is an ultrafilter p on ฯ with a strong Noetherian base, i.e., every member of the