Title of article :
On dimensional properties of the generalized Smirnovʹs spaces
Author/Authors :
Chatyrko، نويسنده , , Vitalij A. and Hattori، نويسنده , , Yasunao، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2010
Abstract :
We show that the transfinite inductive dimensions modulo P P -trind and P -trInd introduced in M.G. Charalambous (1997) [2] differ by simple spaces, where P is the absolutely additive Borel class A ( α ) or the absolutely multiplicative Borel class M ( α ) , 0 ⩽ α < ω 1 .
Keywords :
Large (small) transfinite inductive dimension modulo P , Separable metrizable space , Absolute Borel class , Generalized Smirnovיs space
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications