Results 331 to 340 of about 13,010,936 (349)
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Physical review B, 2019
We investigate a two-way waveguide constructed by bringing close two identical magneto-optical photonic crystals which each supports a counterpropagating topological one-way edge state.
Jianfeng Chen, Wenyao Liang, Zhiyuan Li
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We investigate a two-way waveguide constructed by bringing close two identical magneto-optical photonic crystals which each supports a counterpropagating topological one-way edge state.
Jianfeng Chen, Wenyao Liang, Zhiyuan Li
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Subgroups of Free Topological Groups and Free Topological Products of Topological Groups [PDF]
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].
J. P. L. Hardy, R. Brown
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On Topologized Fundamental Groups and Covering Groups of Topological Groups
Iranian Journal of Science and Technology, Transactions A: Science, 2020We show that every topological group is a strong small loop transfer space at the identity element. This implies that for a connected locally path connected topological group G, the universal path space $$\widetilde{G}_{e}$$ equipped with the quotient ...
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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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Journal of Soviet Mathematics, 1985
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reflexivity of topological groups [PDF]
Proceedings of the American Mathematical Society, 1977 It is shown that under mild conditions the path-component of the identity in the dual group G ∅ ^ G\hat \emptyset of an Abelian topological group G is precisely the union of the one-parameter subgroups of G ∅ ^
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2003
Publisher Summary A topology τ on a group G is a group topology, if the group operations (x,)↦ y (multiplication) and x↦x−1 (inverse) are continuous, when G × G carries the product topology. If H is a subgroup of G, then every group topology on G induces a group topology on H.
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Publisher Summary A topology τ on a group G is a group topology, if the group operations (x,)↦ y (multiplication) and x↦x−1 (inverse) are continuous, when G × G carries the product topology. If H is a subgroup of G, then every group topology on G induces a group topology on H.
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Topological complex-energy braiding of non-Hermitian bands
Nature, 2021Kai Wang +3 more
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WAVELETS ON TOPOLOGICAL GROUPS
Russian Academy of Sciences. Izvestiya Mathematics, 1995The author remarks that classical wavelets on \(\mathbb{R}\) are connected in an essential way with the group operations and the structure of \(\mathbb{R}\) [see \textit{A. Grossmann} and \textit{J. Morlet}, SIAM J. Math. Anal. 15, 723-736 (1984; Zbl 0578.42007)].
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Topological spintronics and magnetoelectronics
Nature Materials, 2021Q. He +4 more
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