Title of article :
On isometric embeddings of compact metric spaces of a countable dimension
Author/Authors :
Iliadis، نويسنده , , Stavros and Naidoo، نويسنده , , Inderasan، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2013
Abstract :
In this paper for any α ∈ ω + we construct a separable complete metric space of (transfinite) inductive dimension ind ⩽ α containing isometrically all compact metric spaces of (transfinite) inductive dimension ind ⩽ α given a positive answer to Problem 4.3 of Iliadis (2013) [4].
Keywords :
embedding , Universal space , Separable complete metric space , Compact metric space , Transfinite small inductive dimension
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
