On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra

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• 作者：Jonathan Ariel Barmak ; ¹ ; ^{jbarmak@dm.uba.ar" class="auth_mail" title="E-mail the corresponding author} ; Ivá ; n Sadofschi Costa ^{isadofschi@dm.uba.ar" class="auth_mail" title="E-mail the corresponding author}
• 关键词：55M20 ; 57M20 ; 55P15 ; 57M05
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：10 January 2017
• 年：2017
• 卷：305
• 期：Complete
• 页码：339-350
• 全文大小：403 K

文摘

In 1969 R.H. Bing asked the following question: Is there a compact two-dimensional polyhedron with the fixed point property which has even Euler characteristic? In this paper we prove that there are no spaces with these properties and abelian fundamental group. We also show that the fundamental group of such a complex cannot have trivial Schur multiplier.