Projective limits ofMV-spaces

✍ Scribed by Antonio Nola; George Georgescu

• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 453 KB
• Volume: 13
• Category: Article
• ISSN: 0167-8094
• DOI: 10.1007/bf00405598

✦ Synopsis

An kfV-space is a topological space X such that there exists an A4V-algebra A whose prime spectrum SpecA is homeomorphic to X. The characterization of the &W-spaces is an important open problem.

We shall prove that any projective limit of A4V-spaces in the category of spectral spaces is an A4V-space. In this way, we obtain new classes of A4V-spaces related to some preservation properties of the Belluce functor.

Mathematics Subject Classifications (1991). 03B50, 06D99.