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We propose here a general framework covering a wide range of fractional operators for vector-valued functions. We indicate to what extent the case in which assumptions are expressed in terms of weak topology is symmetric to the case of norm topology ...
Mieczysław Cichoń+2 more
doaj +1 more source
Fragile topology protected by inversion symmetry: Diagnosis, bulk-boundary correspondence, and Wilson loop [PDF]
We study the bulk and boundary properties of fragile topological insulators (TIs) protected by inversion symmetry, mostly focusing on the class A of the Altland-Zirnbauer classification.
Yoonseok Hwang, J. Ahn, Bohm-Jung Yang
semanticscholar +1 more source
La nuit pensée et vécue comme une frontière quasi topologique
The notions “night”, “day”, “sunset”, “sunrise”, “dawn” and “dusk” have meanings that are not independent, since they are part of frameworks structured by a quasi-topology, which is an extension of the general topology.
Jean-Pierre Desclés
doaj +1 more source
The AdS/CFT Correspondence Conjecture and Topological Censorship [PDF]
In gr-qc/9902061 it was shown that (n+1)-dimensional asymptotically anti-de-Sitter spacetimes obeying natural causality conditions exhibit topological censorship.
Aharony+22 more
core +4 more sources
Some Problems of Topology Change Description in the Theory of Space-Time [PDF]
The problem of topology change description in gravitation theory is analized in detailes. It is pointed out that in standard four-dimensional theories the topology of space may be considered as a particular case of boundary conditions (or constraints ...
Konstantinov, M. Yu.
core +2 more sources
Evidence of topological boundary modes with topological nodal-point superconductivity [PDF]
Raw data of the main text figures. The files can be opened using either MATLAB (*.fig) or Gwyddion (*.gwy).
Haim Beidenkopf+13 more
openaire +3 more sources
On the topology and the boundary of N–dimensional RCD(K,N) spaces [PDF]
We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature.
V. Kapovitch, Andrea Mondino
semanticscholar +1 more source
Du trimorphe aux frontières quasi topologiques
Topology is used in linguistics for semantic, lexical and grammatical descriptions. However, classical topology, with its notion of the limit, is insufficient. Therefore, to describe numerous semantic oppositions (such as “again” / “not again”, “already”
Jean-Pierre Desclés
doaj +1 more source
The causal order on the ambient boundary [PDF]
We analyse the causal structure of the ambient boundary, the conformal infinity of the ambient (Poincar\'e) metric. Using topological tools we show that the only causal relation compatible with the global topology of the boundary spacetime is the ...
Antoniadis, Ignatios+2 more
core +2 more sources
This paper presents an algorithm to translate building topology in an object-oriented architectural building model (Building Information Modeling, BIM) into an object-oriented physical-based energy performance simulation by using an object-oriented ...
WoonSeong Jeong, JeongWook Son
doaj +1 more source