A short note on canonical topologies on the real line
β Scribed by Cong-Hua Yan
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 190 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of this note is to study the relationships between Lowen functor, para-Lowen functor and Rodabaugh's dual L-topology on the real line. The conclusion which they coincide in the case of a Hutton algebra is obtained.
π SIMILAR VOLUMES
We investigate the Kolmogorov complexity of real numbers. Let K be the Kolmogorov complexity function; we determine the Hausdorff dimension and the topological dimension of the graph of K. Since these dimensions are different, the graph of the Kolmogorov complexity function of the real line forms a
## Abstract Is it possible to give an abstract characterisation of constructive real numbers? A condition should be that all axioms are valid for Dedekind reals in any topos, or for constructive reals in Bishop mathematics. We present here a possible firstβorder axiomatisation of real numbers, whic
We study polynomial approximation on the whole real line with weight \(w=e^{-Q}\), where \(Q\) has polynomial growth at infinity. The following are the main problems considered: asymptotics for the Markov factors and for the rate of best approximation of \(|x|\), Jackson-type estimates for the degre