%0 Journal Article %T Property S[a,b]: A Direct Approach %A George Nickolaos Miliaras %J Advances in Pure Mathematics %P 284-285 %@ 2160-0384 %D 2011 %I Scientific Research Publishing %R 10.4236/apm.2011.15051 %X In this paper we prove directly that the property <i>S</i>[<i>¦Á</i>,<i>b</i>] , implies[<i>¦Á</i>,<i>b</i>) -compact, and under certain conditions it implies [<i>¦Á</i>,<i>b</i>] -compact. %K Compactness number %K [< %K i> %K ¦Á< %K /i> %K < %K i> %K b< %K /i> %K ] -compact %K [< %K i> %K ¦Á< %K /i> %K < %K i> %K b< %K /i> %K ) -compact %K property < %K i> %K S< %K /i> %K [< %K i> %K ¦Á< %K /i> %K < %K i> %K b< %K /i> %K ] %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=7289