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Transactions of the American Mathematical Society, 1963
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Dual-band topological Bott insulators in Ammann–Beenker-tiling square photonic quasicrystals

JPhys Photonics
In this work, we study topological states in Ammann–Beenker-tiling photonic quasicrystals made of magneto-optical materials. While conventional topological states in photonic systems with crystalline symmetry are characterized by topological invariants ...
Yingfang Zhang +3 more
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The Finite Coarse Shape Paths

Mathematics
In this paper, we introduce the notions of finite coarse shape path and finite coarse shape path connectedness of a topological space. We prove that the solenoid Σ(pn), which is known to be coarse shape path connected but not shape path connected, is not
Ivan Jelić, Ivančica Mirošević
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Directed bases with net convergence [PDF]

Surveys in Mathematics and its Applications
The concept of a basis having a sequence of elements in a topological vector space is extended to a concept of a directed basis having a net of elements in a topological vector space.
AR. Murugan, C. Ganesa Moorthy, CT. Ramasamy +2 more
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SEMIGROUP ACTIONS , WEAK ALMOST PERIODICITY, AND INVARIANT MEANS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1990
Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then
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Soft topological space and topology on the Cartesian product

, 2016
Matejdes Milan
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Real-Space Observation of Skyrmionium in a Ferromagnet-Magnetic Topological Insulator Heterostructure.