Results 1 to 10 of about 5,377,924 (61)
On the $C_k$-stable closure of the class of (separable) metrizable spaces
, 2015 Denote by $\mathbf C_k[\mathfrak M]$ the $C_k$-stable closure of the class $\mathfrak M$ of all metrizable spaces, i.e., $\mathbf C_k[\mathfrak M]$ is the smallest class of topological spaces that contains $\mathfrak M$ and is closed under taking ...
Banakh, Taras, Gabriyelyan, Saak
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Random-walk topological transition revealed via electron counting
, 2017 The appearance of topological effects in systems exhibiting a non-trivial topological band structure strongly relies on the coherent wave nature of the equations of motion.
Benito, M. +4 more
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Strictly convex norms and topology
, 2010 We introduce a new topological property called (*) and the corresponding class of topological spaces, which includes spaces with $G_\delta$-diagonals and Gruenhage spaces.
Orihuela, José +2 more
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p-topological and p-regular: dual notions in convergence theory
, 1999 The natural duality between "topological" and "regular," both considered as convergence space properties, extends naturally to p-regular convergence spaces, resulting in the new concept of a p-topological convergence space.
Kent, D. C., Wilde, Scott A.
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A new look at Counterexamples in topology [PDF]
, 2002 The book Counterexamples in Topology is a useful catalogue of topological spaces and properties. This thesis extends that catalogue to the properties of sobriety and packedness, and describes some related theory. A purely topological account of sobriety
Kirby, J
core
, 2001 The notion of movability for metrizable compacts was introduced by K.Borsuk $[1]$. In this paper we define the notion of movable category and prove that the movability of a topological space $X$ coincides with the movability of a suitable category, which
Gevorgyan, P. S.
core
Topological Space-Time Crystal. [PDF]
Physical Review Letters, 2022 We introduce a new class of out-of-equilibrium noninteracting topological phases: the topological space-time crystals. These are time-dependent quantum systems that do not have discrete spatial translation symmetries but instead are invariant under ...
Yang Peng
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Topological natures of the Gauss-Bonnet black hole in AdS space [PDF]
Physical Review D, 2022 In the recent proposal [Phys. Rev. Lett. 129, 191101 (2022)], the black holes were viewed as topological thermodynamic defects by using the generalized off-shell free energy.
Cong-xin Liu, Jin Wang
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Topological transformation and free-space transport of photonic hopfions [PDF]
Advanced Photonics, 2022 Structured light fields embody strong spatial variations of polarisation, phase and amplitude. Understanding, characterization and exploitation of such fields can be achieved through their topological properties.
Yijie Shen +5 more
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Black Hole Solutions as Topological Thermodynamic Defects. [PDF]
Physical Review Letters, 2022 In this Letter, employing the generalized off-shell free energy, we treat black hole solutions as defects in the thermodynamic parameter space. The results show that the positive and negative winding numbers corresponding to the defects indicate the ...
Shao-Wen Wei, Yu-Xiao Liu, R. Mann
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