Pushing apart disjoint closed sets in normed linear spaces

✍ Scribed by Douglas W. Curtis

• Publisher: Elsevier Science
• Year: 1971
• Weight: 714 KB
• Volume: 1
• Category: Article
• ISSN: 0016-660X
• DOI: 10.1016/0016-660x(71)90002-x

✦ Synopsis

AbsQactt lk is well known that disjoint closed sets in a Euclidean space may a p~sitiv@ distance by a space homeomorphism. Answering a question PII seu 6y and F.E, Browdet, we show that the same thing can be accomplished in an'y n with respect to any locally finite collection of disjoint closed sets. The dg&ed phism is obtained by pushing e&ward, along rays from a point not contained in &sled sets. An example showing this: n%ult does not hold for the non-normable P