Homeomorphisms of a solenoid isotopic to the identity and its second cohomology groups

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• 作者：Fermí ; n Omar Reveles-Gurrola ^{fyot@cimat.mx" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Comptes Rendus Mathematique
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：354
• 期：9
• 页码：879-886
• 全文大小：300 K

文摘

Some aspects of the study of the group of homeomorphisms of a one-dimensional solenoid which are isotopic to the identity are discussed in this paper. The maximal subgroup up to homotopy equivalence is described and the Euler class of the universal central extension of this group is calculated. This class being bounded gives an interpretation of the rotation element on the solenoid.