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 <title>bibliography for quantum algebraic topology and categories</title>
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 <content>\subsection{A list of references in algebraic topology, quantum algebraic topology, n-logic algebraic categories, theory of categories, functors, natural transformations, topoi and categorical ontology.}

This is an extensive, but not intended to be comprehensive, list of relevant, selected references for several areas of both abstract and applied Mathematics. A more extensive bibliography on \emph{Category Theory} can be found on the
web at the
\PMlinkexternal{Plato, Stanford Encyclopedia of Philosophy web site}{http://plato.stanford.edu/entries/category-theory/}.


\begin{thebibliography}{999}

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Atiyah, M.F. 1956. On the Krull-Schmidt theorem with applications to sheaves.
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Awodey, S. \&amp; Reck, E. R., 2002, Completeness and Categoricity I.
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Baez, J. and Dolan, J., 1998a, Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes.,
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Baez, J. and Dolan, J., 1998b, ``Categorification'', Higher Category Theory, Contemporary Mathematics, 230, Providence: AMS, 1-36.

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Baez, J. and Dolan, J., 2001, ``From Finite Sets to Feynman Diagrams'',
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Baez, J., 1997, ``An Introduction to n-Categories'',
{\em Category Theory and Computer Science}, Lecture Notes in Computer Science, 1290, Berlin: Springer-Verlag, 1--33.

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Baianu, I.C.: 1973, Some Algebraic Properties of \emph{\textbf{(M,R)}} -- Systems. \emph{Bulletin of Mathematical Biophysics} \textbf{35}, 213-217.

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Baianu, I.C. and M. Marinescu: 1974, On A Functorial Construction of \emph{\textbf{(M,R)}}-- Systems. \emph{Revue Roumaine de Mathematiques Pures et Appliquees} \textbf{19}: 388-391.

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\bibitem{ICB2}
Baianu, I.C.: 1984, A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Networks, \emph{FASEB Proceedings} \textbf{43}, 917.

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\bibitem{ICB87b}
Baianu, I. C.: 1987b, Molecular Models of Genetic and Organismic Structures, in \emph{Proceed. Relational Biology Symp.}
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\bibitem{ICB2004a}
Baianu, I.C.: 2004a. \L{}ukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamic Models (2004). Eprint: w. Cogprints at Sussex Univ.

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Baianu, I.C.: 2004b \L{}ukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamics).
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\bibitem{Bgg2}
Baianu, I. C., Glazebrook, J. F. and G. Georgescu: 2004, Categories of Quantum Automata and N-Valued \L ukasiewicz Algebras in Relation to Dynamic Bionetworks, \textbf{(M,R)}--Systems and Their Higher Dimensional Algebra, \PMlinkexternal{Abstract and Preprint of Report}{http://fs512.fshn.uiuc.edu/QAuto.pdf}.

\bibitem{ICB8}
Baianu, I.C.: 2004a, Quantum Nano--Automata (QNA): Microphysical Measurements with Microphysical QNA Instruments,
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\bibitem{ICB9}
Baianu, I. C.: 2004b, Quantum Interactomics and Cancer Mechanisms,
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\bibitem{ICB10}
Baianu, I. C.: 2006, Robert Rosen's Work and Complex Systems Biology, \emph{Axiomathes} \textbf{16}(1--2):25--34.


\bibitem{Bgb2}
Baianu, I. C., Brown, R. and J. F. Glazebrook: 2006, Quantum Algebraic Topology and Field Theories.
\PMlinkexternal{Preprint}{http://fs512.fshn.uiuc.edu/QAT.pdf}


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Baianu, I.C.: 2008, Translational Genomics and Human Cancer Interactomics, (invited Review, submitted in November 2007 to \emph{Translational Oncogenomics}).


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Baianu, I.C., R. Brown and J. F. Glazebrook: 2007b, A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity, Axiomathes, 17: 169-225.

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Barr, M. \&amp; Wells, C., 1999, Category Theory for Computing Science, Montreal: CRM.

\bibitem{BaM98}
Batanin, M., 1998, Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories", Advances in Mathematics, 136, 39--103.

\bibitem{BJL81}
Bell, J. L., 1981, Category Theory and the Foundations of Mathematics, British Journal for the Philosophy of Science, 32, 349--358.

\bibitem{BJL82}
Bell, J. L., 1982, Categories, Toposes and Sets, {\em Synthese},{\bf 51}, 3, 293--337.

\bibitem{BJL86}
Bell, J. L., 1986, From Absolute to Local Mathematics, {\em Synthese}, {\bf 69}, 3, 409--426.

\bibitem{BJL88}
Bell, J. L., 1988, {\em Toposes and Local Set Theories: An Introduction}, Oxford: Oxford University Press.

\bibitem{BG-MCLS99}
Birkoff, G. and Mac Lane, S., 1999, Algebra, 3rd ed., Providence: AMS.

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Blass, A. and Scedrov, A., 1983, Classifying Topoi and Finite Forcing , Journal of Pure and Applied Algebra, 28, 111--140.

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\bibitem{Borceux94}
Borceux, F.: 1994, \emph{Handbook of Categorical Algebra}, vols: 1--3,
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\bibitem{BGB2k7b}
Brown, R., Glazebrook, J. F. and I.C. Baianu.: 2007b, A Conceptual, Categorical and Higher Dimensional Algebra Framework of Universal Ontology and the Theory of Levels for Highly Complex Structures and Dynamics., \emph{Axiomathes} (17): 321--379.

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Brown, R., Paton, R. and T. Porter.: 2004, Categorical language and
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\end{thebibliography}</content>
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