%0 Journal Article
%T Approximate maps characterizing injectivity and surjectivity of maps
%A Miyata
%A Takahisa
%J -
%D 2017
%R 10.3336/gm.52.1.14
%X Sa£¿etak In the theory of inverse systems, in order to study the properties of a space X or a map f: X ¡ú Y between spaces, one expands X to an inverse system X or expands f to a map f: X ¡ú Y between the inverse systems, and then work on X or f. In this paper, we define approximate injectivity (resp., surjectivity) for approximate maps, and show that a map f: X ¡ú Y between compact metric spaces is injective (resp., surjective) if and only if any approximate map f
%K Injective map
%K surjective map
%K epimorphism
%K monomorphism
%K approximate map
%K shape
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=270034