scholarly journals Coarse topology, enlargeability, and essentialness

2008 ◽  
Vol 41 (3) ◽  
pp. 473-495 ◽  
Author(s):  
Bernhard Hanke ◽  
Dieter Kotschick ◽  
John Roe ◽  
Thomas Schick
Keyword(s):  
Coarse Topology

ARE THERE THREE KINDS OF SUPERCONDUCTIVITY?

1991 ◽  
Vol 05 (10) ◽  
pp. 1779-1790 ◽  
Author(s):  
R. M. KIEHN
Keyword(s):  
Differential Forms ◽  
Quantum Hall ◽  
Rational Fraction ◽  
Type I ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Physical Constraints ◽  
Coarse Topology ◽  
Ordinary Type ◽  
Closure Conditions

A Maxwell system of differential forms induces a coarse topology on a space time variety. This topology can be refined by certain extremal constraints of domain closure that lead to three topologically distinct, reactive impedances, Z1, Z2, Z3. These non-dissippative impedances are rational fraction ratios of topological invariants. The closure conditions induce physical constraints that permit Z1 to be identified with ordinary type I and II superconductive domains, and Z3 with the fractional quantum Hall effect. Only Z2 admits the time-reversal and parity symmetry breaking associated with Anyon theories.

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