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[parent] quantum algebraic topology (Topic)

Quantum Algebraic Topology

This is a new, contributed topic on Quantum Algebraic Topology and its relationship to funadamental fields of Mathematics, Non-Commutative Geometry, the Theory of Categories, Functors and Natural Transformations (TCFN), Non-Abelian Algebraic Theory, Supergravity / Supersymmetry theories (Quantum Gravity) and locally covariant Relativististic Quantum theories. Related websites and documents are listed in the Bibliography

[Please add to, but do not subtract from, the existing presentation.]

Additional items:

  1. QAT1
  2. QAT2
  3. A3

Bibliography

1
QAT: Quantum Algebraic Topology-preprint.
2
AT: Algebraic Topology papers
3
NAAT: Non-Abelian Algebraic Topology book
4
QA: Quantum Automata
5
Abstracts: Springer link
6
NAQAT: Non-Abelian QAT
5
Abstracts2: Springer link
7
NAAT-List: Category Theory, Homotopy Theory and AT Publications
8
SPE: Stanford Plato: Category Theory and Applications
9
CERN Preprint Archives: CERN Preprints-1
10
CERN Articles and Preprint Archives: CERN Preprints-2



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"quantum algebraic topology" is owned by bci1.
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See Also: topic entry on foundations of mathematics, C*-algebras and quantum compact groupoids, topic on the algebraic foundations of quantum algebraic topology, algebraic foundations of quantum algebraic topology, $CW$ complex representation theorems, theorem on $CW$-complex approximation of quantum state spaces in QAT, supersymmetry, axiomatics and categorical foundations of mathematical physics, category of quantum automata

Other names:  non-Abelian Quantum Algebraic Topology, NAQAT, Quantum Operator Algebras, Supersymmetry and symmetry breaking, Algebraic Topology Foundations of Quantum theories
Keywords:  algebraic topology foundations of quantum theories, Non-Abelian Algebraic Theory, Supergravity / Supersymmetry theories (Quantum Gravity), locally covariant

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$CW$ complex representation theorems (Theorem) by bci1
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Cross-references: presentation, Bibliography, quantum theories, Quantum Gravity, supersymmetry, supergravity, algebraic, non-Abelian, transformations, functors, categories, theory, non-commutative geometry, fields
There are 14 references to this entry.

This is version 30 of quantum algebraic topology, born on 2008-07-17, modified 2008-10-17.
Object id is 10811, canonical name is QuantumAlgebraicTopology.
Accessed 899 times total.

Classification:
AMS MSC: 81R15 (Quantum theory :: Groups and algebras in quantum theory :: Operator algebra methods)
 81R50 (Quantum theory :: Groups and algebras in quantum theory :: Quantum groups and related algebraic methods)
 55-02 (Algebraic topology :: Research exposition )
 81Q60 (Quantum theory :: General mathematical topics and methods in quantum theory :: Supersymmetric quantum mechanics)
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