Fréchet–Urysohn fans in free topological groups
- 作者：Taras Banakh ; Duš ; an Repovš ; Lyubomyr Zdomskyy
- 关键词：Carnosic acid ; Carnosol ; Keap1 ; Nrf2 ; HT22 cells ; Electrophilic compounds
- 刊名：Journal of Pure and Applied Algebra
- 出版年：2008
- 期刊代码：35_00224049
- 类别：mt
- 出版时间：September 2008
- 卷：212
- 期：9
- 页码：2105-2114
- 文件大小：311 K
摘要
In this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of the Fréchet–Urysohn fan Sω in a topological group G admitting a functorial embedding [0,1]
G. The latter means that each autohomeomorphism of [0,1] extends to a continuous homomorphism of G. This implies that many natural free topological group constructions (e.g. the constructions of the Markov free topological group, free abelian topological group, free totally bounded group, free compact group) applied to a Tychonov space X containing a topological copy of the space 
of rationals give topological groups containing Sω.
G. The latter means that each autohomeomorphism of [0,1] extends to a continuous homomorphism of G. This implies that many natural free topological group constructions (e.g. the constructions of the Markov free topological group, free abelian topological group, free totally bounded group, free compact group) applied to a Tychonov space X containing a topological copy of the space