Extending continuous L-real-valued functions from arbitrary subspaces

✍ Scribed by K. Klimorowski; T. Kubiak

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 213 KB
• Volume: 144
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(03)00132-5

✦ Synopsis

It is shown that every subspace of a completely normal and extremally disconnected L-topological space has the extension property for I(L)-valued functions with L a meet-continuous lattice. To show this, we ÿrst characterize those spaces in terms of an insertion type theorem.