Title of article :
On an approach to constructing compacta with different dimensions dim and ind
Author/Authors :
Chatyrko، نويسنده , , Vitaly A. and Kozlov، نويسنده , , Konstantin L. and Pasynkov، نويسنده , , Boris A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
In this paper we reveal common features in the constructions of some compacta X with dim X<ind X. To any regular T1-space X a class T(X) of regular T1-spaces is related. Elements of T(X) are called tailings of X. Two concrete types of tailings are described. For any compactum X with dim X=ind X>0, these constructions allow to obtain compacta Y with dim Y=dim X and ind Y>dim X.
end of the paper, using tailings, we present compacta with different dimensions dim and ind constructed by means of product formation starting from compacta with equal dim and ind.
Keywords :
product , Small inductive , Compactum , Covering dimension , Dimension
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications