Complex function algebras and removable spaces |
| |
Authors: | Joan E Hart |
| |
Institution: | a University of Wisconsin, Oshkosh, WI 54901, USA b University of Wisconsin, Madison, WI 53706, USA |
| |
Abstract: | The compact Hausdorff space X has the Complex Stone-Weierstrass Property (CSWP) iff it satisfies the complex version of the Stone-Weierstrass Theorem. W. Rudin showed that all scattered spaces have the CSWP. We describe some techniques for proving that certain non-scattered spaces have the CSWP. In particular, if X is the product of a compact ordered space and a compact scattered space, then X has the CSWP if and only if X does not contain a copy of the Cantor set. |
| |
Keywords: | 54C35 46J10 |
本文献已被 ScienceDirect 等数据库收录! |
|