|
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 27–32
(Mi vmumm669)
|
|
|
|
Mathematics
Maximal linked systems
M. A. Dobrynina Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The compact space such that the space $\lambda^3(X)$ of maximal $3$-linked systems is not normal is constructed. It is proved that for any product of infinite separable spaces there exists a maximal linked system with the support equal to the product space. It is proved that a set of maximal $3$-linked systems with continious supports is everywhere dense in the superextension $\lambda(X)$ if $X$ is connected and separable. The properties of seminormal functors preserving one-to-one points are discussed.
Key words:
maximal $k$-linked systems, support, superextension functor, seminormal functors.
Received: 08.02.2010
Citation:
M. A. Dobrynina, “Maximal linked systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 27–32; Moscow University Mathematics Bulletin, 66:2 (2011), 77–81
Linking options:
https://www.mathnet.ru/eng/vmumm669 https://www.mathnet.ru/eng/vmumm/y2011/i2/p27
|
Statistics & downloads: |
Abstract page: | 41 | Full-text PDF : | 19 |
|