Results 51 to 60 of about 409,094 (131)

Index theory and noncommutative geometry of topological insulator [PDF]

open access: yesarXiv, 2018
In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutative geometry.
arxiv  

Topological Homotopy Groups [PDF]

open access: yesBulletin of the Belgian Mathematical Society, 15:3 (2008) 588-600, 2011
D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups.
arxiv  

Negative dimension in general and asymptotic topology [PDF]

open access: yesarXiv, 2006
We introduce the notion of negative topological dimension and the notion of weight for the asymptotic topological dimension. Quantizing of spaces of negative dimension is applied to linguistic statistics.
arxiv  

Nonperturbative refined topological string [PDF]

open access: yesarXiv
A formula for the full nonperturbative topological string free energy was recently proposed by Hattab and Palti \cite{HP24a}. In this work, we extend their result to the refined topological string theory. We demonstrate that the proposed formula for the full nonperturbative refined topological string free energy correctly reproduces the trans-series ...
arxiv  

Children's Understanding of Topological Relations. [PDF]

open access: yesOpen Mind (Camb)
Yousif SR, Goldstein LB, Brannon EM.
europepmc   +1 more source

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