𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Functions which are Polynomials on a Dense Set

✍ Scribed by Donoghue, W. F.


Book ID
120098310
Publisher
Oxford University Press
Year
1964
Tongue
English
Weight
96 KB
Volume
s1-39
Category
Article
ISSN
0024-6107

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Continuous functions which take a somewh
✍ Maxim R. Burke πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 161 KB

We study the class of Tychonoff spaces that can be mapped continuously into R in such a way that the preimage of every nowhere dense set is nowhere dense. We show that every metric space without isolated points is in this class. We also give examples of spaces which have nowhere constant continuous

Continuous Functions That Are Locally Co
✍ M.E. Rudin; W. Rudin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 297 KB

A compact Hausdorff space \(T\) is constructed on which the constant functions are the only real-valued continuous ones that are locally constant on a dense subset of \(T\). ir. 1995 Academic Press. Inc