http://swrc.ontoware.org/ontology#UnrefereedArticle
On uniform dimensions of uniform spaces<数学・自然科学>
en
uniform dimension
pseudo orbit tracing property
木村 孝
Journal of Saitama University. Faculty of Education
59
2
231-236
2010
2010
埼玉大学教育学部
Faculty of Education, Saitama University
18815146
We introduce a notion of a unifoem dimension, denoted by u-dim, of a uniform space. We construct a uniform space X such that X =nand dim X =m for n, m ∈N ∪{0}. We also prove that the identity mapping of a uniform space X has the pseudo orbit property if and only if u-dim X≤0.
text
application/pdf
2010-10-05