Dimension theory and superpositions of continuous functions |
| |
Authors: | J Sternfeld |
| |
Institution: | 1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
|
| |
Abstract: | The main result of this paper is the following: IfX is a compact two dimensional metric space, and {φ i} i = 1/4 are four functions inC(X), then there exists a functionf inC(X) which cannot be represented in the form: $$f(x) = \sum\limits_{i = 1}^4 {g_\iota (\varphi _i (x))} $$ , with $$g_\iota \in C(R)$$ . |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|