Computable analysis: an introduction
Computable analysis: an introduction
Theoretical Computer Science
On Computable Metric Spaces Tietze-Urysohn Extension Is Computable
CCA '00 Selected Papers from the 4th International Workshop on Computability and Complexity in Analysis
A Convenient Category of Domains
Electronic Notes in Theoretical Computer Science (ENTCS)
| Hi-index | 0.00 |
The Tietze-Urysohn Theorem states that every continuous real-valued function defined on a closed subspace of a normal space can be extended to a continuous function on the whole space. We prove an effective version of this theorem in the Type Two Model of Effectivity (TTE). Moreover, for qcb-spaces we introduce a slightly weaker notion of normality than the classical one and show that this property still admits an Extension Theorem for continuous functions.