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Annotation-free 3D reconstruction and quantification of retinal microvasculature by RADAR. [PDF]
Zhang H +10 more
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Long-term intensive golf training induces reconfiguration of brain structural covariance networks. [PDF]
Lei Z, Hou Y, Song X.
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Solvent-mediated extraction of disperse dyes from polyester: correlating Cyrene extraction yields with molecular topological and chemical descriptors. [PDF]
Fernando P, Hebden A, Du C, Goswami P.
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Subgroups of Free Topological Groups and Free Topological Products of Topological Groups
Journal of the London Mathematical Society, 1975Introduction Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9].
Brown, R., Hardy, J. P. L.
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Free Subgroups of Free Topological Groups
1974It is well known that every subgroup of a free group is a free group. However, it is not true in general that a subgroup of a free topological group is a free topological group.
David C. Hunt, Sidney A. Morris
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The Topology of Free Topological Groups
Journal of Mathematical Sciences, 2005This paper deals with the notion of the free topological group \(F(X)\) in the sense of Markov and with the topological Abelian group \(A(X)\) which is generated by a Tikhonov space \(X\). A variety of results is presented to demonstrate how useful explicit descriptions of the topologies on these groups are.
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2008
In this chapter, we introduce the notion of a free topological group and familiarize the reader with basic properties of these groups that will be used in the rest of the book. Free topological groups were introduced in 1941 by A. A. Markov in [305] with the clear idea of extending the well-known construction of a free group from group theory to ...
Alexander Arhangel’skii +1 more
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In this chapter, we introduce the notion of a free topological group and familiarize the reader with basic properties of these groups that will be used in the rest of the book. Free topological groups were introduced in 1941 by A. A. Markov in [305] with the clear idea of extending the well-known construction of a free group from group theory to ...
Alexander Arhangel’skii +1 more
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