An embolism-free nonfouling hydrogel coating with high toughness and lubricity for intravascular medical devices via chain-entanglement mediated topological gelation. [PDF]
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Discovery of an Ideal Quadratic Nodal Point in Two-Dimensional Binary Compound C<sub>5</sub>P<sub>1</sub>. [PDF]
Li Y.
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Machine Learning Prediction for Fe(II) Spin-Crossover Complex in the Same Spin State Using Geometrical and Topological Descriptors. [PDF]
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Enzyme-Responsive Cyclic Gapmer Antisense Oligonucleotides via Thymidine <i>C</i>5-<i>C</i>5 Cross-Linking within the Gap Region Using a Galactosylated Branched Self-Immolative Linker. [PDF]
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Field component modulation of vortex beams in uniaxial crystals driven by angular and topological charge dependencies. [PDF]
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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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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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On The Profinite Topology on a Free Group
Bulletin of the London Mathematical Society, 1993The profinite topology on a free group \(F\) is generated by the subgroups of finite index and their cosets. M. Hall jun. showed that each finitely generated subgroup is closed. J.-E. Pin and the reviewer conjectured that each product \(H_ 1 H_ 2 \dots H_ n\), where each \(H_ i\) is a finitely generated subgroup, is closed.
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