On Topological Classification of Function Spaces C p (X) of Low Borel Complexity

1991 ◽  
Vol 328 (1) ◽  
pp. 307 ◽  
Author(s):  
T. Dobrowolski ◽  
W. Marciszewski ◽  
J. Mogilski
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Borel Complexity

scholarly journals Topological classification of function spaces with the Fell topology III

2016 ◽  
Vol 197 ◽  
pp. 112-132 ◽  
Author(s):  
Zhongqiang Yang ◽  
Liangzhi Chen ◽  
Yanmei Zheng
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

scholarly journals Topological classification of function spaces with the Fell topology IV

2017 ◽  
Vol 228 ◽  
pp. 222-235 ◽  
Author(s):  
Hanbiao Yang ◽  
Zhongqiang Yang ◽  
Yanmei Zheng
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

Topological classification of function spaces with the Fell topology II

2015 ◽  
Vol 187 ◽  
pp. 82-96 ◽  
Author(s):  
Zhongqiang Yang ◽  
Yanmei Zheng ◽  
Jiyang Chen
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

scholarly journals Wavefront dislocations reveal the topology of quasi-1D photonic insulators

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Clément Dutreix ◽  
Matthieu Bellec ◽  
Pierre Delplace ◽  
Fabrice Mortessagne
Keyword(s):  
Local Density ◽  
Topological Defects ◽  
Wave Functions ◽  
Topological Classification ◽  
Local Density Of States ◽  
Topological Phase Transition ◽  
Interference Fringes ◽  
Classical Wave ◽  
Phase Singularities

AbstractPhase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wave functions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Realising 1D microwave insulators, we experimentally observe a wavefront dislocation – a 2D phase singularity – in the local density of states when the systems undergo a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterises the band topology in the insulator.

Topological classification of nodal-line semimetals in square-net materials

2021 ◽  
Vol 103 (16) ◽  
Author(s):  
Inho Lee ◽  
S. I. Hyun ◽  
J. H. Shim
Keyword(s):  
Nodal Line ◽  
Topological Classification
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