A CAT(0) space is a geodesic space for which each geodesic triangle is at least as 'thin' as its comparison triangle in the Euclidean plane. A notion of convergence introduced independently several years ago by Lim and Kuczumow is shown in CAT(0) spaces to be very similar to the usual weak convergen
Cospaces of a Convergence Space
β Scribed by E. Lowen-Colebunders
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 523 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The convergences of the net (generalized sequence) of fuzzy measures are discussed. It is shown that three types of convergence are not equivalent in general case, however they are equivalent if the universal set is ΓΏnite.
## 1. Definitions and introdiiction In this note it is shown that the completion of a SCHWARTZ space E in the category of L,L, -embedded spaces is Iinearly homeomorphic with the eJf-bidual LAM E . The connection between LA,, -embedded SCHWARTZ spaces and topological SCHWARTZ spaces is also studied.
1. Introduction. Let (X,) be a sequence of real valued independent and identically distributed random variables (r. v.) with espactation 0 and finite second moment 02. Further, let ( N n ) be a sequence of random integers satisfying N,/n -. t where z is a positive r.v. Then the celebrated result of