𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A short note on canonical topologies on the real line

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Group topologies on the real line
✍ Jen-chung Chuan; Li Liu πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 446 KB
A note on the connected-open topology
✍ J. D. Hansard πŸ“‚ Article πŸ“… 1970 πŸ› John Wiley and Sons 🌐 English βš– 180 KB πŸ‘ 1 views
On hausdorff and topological dimensions
✍ Jin-yi Cai; Juris Hartmanis πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 767 KB

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

A note on the axiomatisation of real num
✍ Thierry Coquand; L. Henri Lombardi πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 86 KB πŸ‘ 2 views

## 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 first‐order axiomatisation of real numbers, whic

Weighted Polynomial Approximation on the
✍ A. Kroo; J. Szabados πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 635 KB

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