How many miles to $βω$? -- Approximating $βω$ by metric-dependent compactifications
| dc.creator | Kada, Masaru | |
| dc.creator | Tomoyasu, Kazuo | |
| dc.creator | Yoshinobu, Yasuo | |
| dc.date | 2004-05-16 | |
| dc.date | 2004-07-21 | |
| dc.date.accessioned | 2026-07-07T05:08:19Z | |
| dc.date.available | 2026-07-07T05:08:19Z | |
| dc.description | It is known that the Stone-Čech compactification of a non-compact metrizable space $X$ is approximated by the collection of Smirnov compactifications of $X$ for all compatible metrics on $X$. We investigate the smallest cardinality of a set $D$ of compatible metrics on the countable discrete space $ω$ such that, the Stone-Čech compactification of $ω$ is approximated by Smirnov compactifications for all metrics in $D$, but any finite subset of $D$ does not suffice. We also study the corresponding cardinality for Higson compactifications. | |
| dc.description | v3: Unified old sections 1 and 2 into new section 1, and deleted some basic lemmata to shorten the article | |
| dc.identifier | https://arxiv.org/abs/math/0405311 | |
| dc.identifier | http://arxiv.org/abs/math/0405311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71213 | |
| dc.subject | General Topology | |
| dc.subject | Logic | |
| dc.subject | 03E17; 03E35; 54D35; 54H05 | |
| dc.title | How many miles to $βω$? -- Approximating $βω$ by metric-dependent compactifications | |
| dc.type | text |