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Probing individual quantum emitters in bulk semiconductors via photonic nanojets. [PDF]

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Semnani B   +9 more
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Generators of topological groups (General and Geometric Topology)

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Generalized Topological Index

K-Theory, 1997
The topological index was defined by Atiyah and Singer [see \textit{M. F. Atiyah} and \textit{I. M. Singer}, ``The index of elliptic operators. I'', Ann. Math., II. Ser. 87, 484-530 (1968; Zbl 0164.24001)] and they showed that this index satisfies three axioms: excision, multiplicativity and normalization.
Foth, Philip A., Tamarkin, Dmitry E.
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Generalized topology, generized continuity

Acta Mathematica Hungarica, 2002
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New generalized topologies on generalized topological spaces due to Császár

Acta Mathematica Hungarica, 2010
Let \((X, \tau)\) be a topological space and \(\mu\) be one of the following families of sets: pre-open sets, semi-open sets, \(b\)-open sets, \(\alpha\)-open sets, \(\beta\)-open sets of \((X, \tau)\). Then \((X, \mu)\) can be considered as a generalized topological space, i.e., \(\mu\) satisfies that (1) \(\emptyset \in \mu\), and (2) every union of ...
Roy, B., Ekici, E.
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Topology in General Relativity

Journal of Mathematical Physics, 1967
A number of theorems and definitions which are useful in the global analysis of relativistic world models are presented. It is shown in particular that, under certain conditions, changes in the topology of spacelike sections can occur if and only if the model is acausal. Two new covering manifolds, embodying certain properties of the universal covering
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Generative Autonomous Systems Topology Generator

IEEE Communications Magazine
Accurate modeling of Internet topologies is crucial for evaluating communication protocols and traffic control strategies. However, existing topology generators often rely on rigid, structure-oriented assumptions - such as scale-free models - and fail to capture key structural properties, including betweenness centrality, clustering, and assortativity.
Dadauto, Caio V.   +2 more
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General Topology Topological Spaces

1987
The purpose of this chapter is to present very rapidly some of the basic, concise results in general topology – mostly without proofs. The reader interested in this topic may consult the works of N. Bourbaki, J. L. Kelley and K. Kuratowski for a detailed account.
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