Locally compact spaces of countable core and Alexandroff compactification
β Scribed by A.V. Arhangel'skii
- Book ID
- 108286313
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 141 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0166-8641
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π SIMILAR VOLUMES
## Abstract Although classically every open subspace of a locally compact space is also locally compact, constructively this is not generally true. This paper provides a locally compact remetrization for an open set in a compact metric space and constructs a oneβpoint compactification. MSC: 54D45,
When computing on a (generally) uncountable topological structure d, such as the topological field of real numbers R, one must by necessity compute on a set of concrete approximations P for d. One way to do this is to represent the original structure d using P in such a way that computations on P tr