Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Shape dimension of maps
Authors: P. S. Gevorgyan, I. Pop
– 0.14 Mb
Abstract
In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic properties and applications of this invariant are given. The question of raising the shape dimension by shape finite-dimensional maps is solved. An example of a shape finite-dimensional surjective map between shape infinite-dimensional spaces is given.P.S.Gevorgyan
Faculty of Mathematics
Moscow State Pedagogical University
Krasnoprudnaya str., 14, Moscow, Russia
E-mail:
I.Pop
Faculty of Mathematics
”Al.I.Cuza” University
700505-Iasi, Romania
E-mail:
Faculty of Mathematics
Moscow State Pedagogical University
Krasnoprudnaya str., 14, Moscow, Russia
E-mail:
I.Pop
Faculty of Mathematics
”Al.I.Cuza” University
700505-Iasi, Romania
E-mail:
Fulltext
– 0.14 Mb
Contents
- Shape dimension of maps
- Semi-integral filters and semi-integral BL-algebras
- Orthogonality and retract orthogonality of operations
- An Approach for Determining the Optimal Strategies for an Average Markov Decision Problem with Finite State and Action Spaces
- The Center of the Lattice of Factorization Structures
- Properties of finite unrefinable chains of ring topologies for nilpotent rings
- Quartic differential systems with an invariant straight line of maximal multiplicity
- Distances on Free Semigroups and Their Applications
- Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic
