Projectively first-countable semitopological groups

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• 作者：Ivá ; n Sá ; nchez ^{isr.uami@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：54H11 ; 54A25 ; 54B10 ; 54C25 ; 54D10
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：15 May 2016
• 年：2016
• 卷：204
• 期：Complete
• 页码：246-252
• 全文大小：277 K

文摘

We show that a regular semitopological group G is projectively regular first-countable if and only if G is ω-balanced, locally ω  -good and 1450&_mathId=si1.gif&_user=111111111&_pii=S0166864116001450&_rdoc=1&_issn=01668641&md5=439b22162345b3a661b88ceb5cf60599" title="Click to view the MathML source">Ir(G)≤ω$\mathit{Ir}(G)\le \omega$. Similarly, we give an internal characterization of projectively 1450&_mathId=si2.gif&_user=111111111&_pii=S0166864116001450&_rdoc=1&_issn=01668641&md5=300eb040ba2cb0c7ac32b0f4cfcc56df" title="Click to view the MathML source">T_i$T_i$ first-countable semitopological groups, for 1450&_mathId=si3.gif&_user=111111111&_pii=S0166864116001450&_rdoc=1&_issn=01668641&md5=f5f19f59da40f95dc2c624379827c211" title="Click to view the MathML source">i=0,1,2$i=0,1,2$.