We give the embedding theorem of a mapping space CK (X, Y) with compact open topology in C,(K(X), K(Y)) with pointwise convergence topology, where K(X), K(Y) are the hyperspaces of compact subsets with finite topology. 0 1998 Elsevier Science B.V.
The topology of finitely open sets is not a vector space topology
β Scribed by Torben Maack Bisgaard
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 394 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A separated cell A of a topological space X is a family of pairwise disjoint open sets with the property that, for any partition A = A 1 βͺ A 2 of A, A 1 and A 2 are completely separated. The separated cellularity sc(X) of X is the supremum of all cardinals of separated cells. A space X has finite se
It is natural to expect that the behaviour of some topological properties tends to improve in the presence of an additional algebraic structure interacting with the topology (for example, in topological groups, topological fields, or topological vector spaces). The purpose of this survey is to compa