Results 241 to 250 of about 289,513 (282)

Annotation-free 3D reconstruction and quantification of retinal microvasculature by RADAR. [PDF]

open access: yesNPJ Digit Med
Zhang H   +10 more
europepmc   +1 more source

Laser-induced nucleation of magnetic hopfions

open access: yes
Zheng F   +19 more
europepmc   +1 more source

Subgroups of Free Topological Groups and Free Topological Products of Topological Groups

Journal of the London Mathematical Society, 1975
Introduction 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.
openaire   +1 more source

Free Subgroups of Free Topological Groups

1974
It 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
openaire   +1 more source

The Topology of Free Topological Groups

Journal of Mathematical Sciences, 2005
This 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.
openaire   +2 more sources

Free Topological Groups

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
openaire   +1 more source

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