3 papers
math.GN2007
Large inductive dimension of the Smirnov remainder
Yuji Akaike, Naotsugu Chinen, Kazuo Tomoyasu
The purpose of this paper is to investigate the large inductive dimension of the remainder of the Smirnov compactification of the n-dimensional Euclidean space with the usual metri…
math.GN2004
How many miles to beta-X? -- d miles, or just one foot
Masaru Kada, Kazuo Tomoyasu, Yasuo Yoshinobu
It is known that the Stone-Cech compactification of a metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. If we…
math.GN2004
How many miles to ? -- Approximating by metric-dependent compactifications
Masaru Kada, Kazuo Tomoyasu, Yasuo Yoshinobu
It is known that the Stone-Čech compactification of a non-compact metrizable space is approximated by the collection of Smirnov compactifications of for all compatible metr…