| Version 8 |
Version 7 |
| \textbf{'functorial morphisms'} is another name for \emph{natural transformations} which was, and still is, |
\textbf{'functorial morphisms'} is another name for \emph{natural transformations} which was, and still is, |
| employed especially in the context of category theory and applications developed by Charles Ehresmann, the 'Nicolas Bourbaki' group and other French Schools of mathematics; this is also a natural, English translation of the same concept from French, viz. (ref. \cite{CE1965}). |
employed especially in the context of category theory and applications developed by Charles Ehresmann, the 'Nicolas Bourbaki' group and other French Schools of mathematics; this is also a natural, English translation of the same concept from French, viz. (ref. \cite{CE1965}). |
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|
| \begin{thebibliography}{9} |
\begin{thebibliography}{9} |
|
|
| \bibitem{Ha}A. Hatcher, \emph{Algebraic Topology}, Cambridge University Press, 2002. |
\bibitem{Ha}A. Hatcher, \emph{Algebraic Topology}, Cambridge University Press, 2002. |
|
|
| \bibitem{Ma}S. Mac Lane, \emph{Categories for the Working Mathematician} (2nd edition), Springer-Verlag, 1997. |
\bibitem{Ma}S. Mac Lane, \emph{Categories for the Working Mathematician} (2nd edition), Springer-Verlag, 1997. |
|
|
| \bibitem{EC1966} |
\bibitem{EC1966} |
| C. Ehresmann, Trends Toward Unity in Mathematics., \emph{Cahiers de Topologie et Geometrie Differentielle} |
C. Ehresmann, Trends Toward Unity in Mathematics., \emph{Cahiers de Topologie et Geometrie Differentielle} |
| \textbf{8}: 1-7, 1966. |
\textbf{8}: 1-7, 1966. |
|
|
| \bibitem{CE1965} |
\bibitem{CE1965} |
| C. Ehresmann, \emph{Cat\'egories et Structures}. Dunod: Paris , 1965. |
C. Ehresmann, \emph{Cat\'egories et Structures}. Dunod: Paris , 1965. |
|
|
| \bibitem{Eh-quintettes} |
\bibitem{Eh-quintettes} |
| C. Ehresmann, Cat\'egories doubles des quintettes: applications covariantes |
C. Ehresmann, Cat\'egories doubles des quintettes: applications covariantes |
| , \emph{C.R.A.S. Paris}, \textbf{256}: 1891-1894, 1963. |
, \emph{C.R.A.S. Paris}, \textbf{256}: 1891-1894, 1963. |
|
|
| \bibitem{Eh-Oe} |
\bibitem{Eh-Oe} |
| C. Ehresmann, \emph{Oeuvres compl\`etes et comment\'ees: |
C. Ehresmann, \emph{Oeuvres compl\`etes et comment\'ees: |
| Amiens, 1980-84}, 1984 (\emph{edited and commented by Andr\'ee Ehresmann}). |
Amiens, 1980-84}, 1984 (\emph{edited and commented by Andr\'ee Ehresmann}). |
|
|
|
|
| \bibitem{EML1} |
\bibitem{EML1} |
| S. Eilenberg and S. Mac Lane., Natural Isomorphisms in Group Theory., \emph{American Mathematical Society 43}: 757-831, 1942. |
S. Eilenberg and S. Mac Lane., Natural Isomorphisms in Group Theory., \emph{American Mathematical Society 43}: 757-831, 1942. |
|
|
| \bibitem{EML45} |
\bibitem{EML45} |
| S. Eilenberg and S. Mac Lane, The General Theory of Natural Equivalences, \emph{Transactions of the American Mathematical Society} \textbf{58}: 231-294, 1945. |
S. Eilenberg and S. Mac Lane, The General Theory of Natural Equivalences, \emph{Transactions of the American Mathematical Society} \textbf{58}: 231-294, 1945. |
|
|
| \bibitem{Gabriel1962} |
\bibitem{Gabriel1962} |
| P. Gabriel, Des cat\'egories ab\'eliennes, \emph{Bull. Soc.Math. France} |
P. Gabriel, Des cat\'egories ab\'eliennes, \emph{Bull. Soc.Math. France} |
| \textbf{90}: 323-448, 1962. |
\textbf{90}: 323-448, 1962. |
|
|
| \bibitem{Alex3} |
\bibitem{Alex3} |
| A. Grothendieck, and J. Dieudon\'{e}, \emph{El\'{e}ments de geometrie alg\'{e}brique.}, \emph{Publ. Inst. des Hautes Etudes de Science}, \textbf{4}, 1960. |
A. Grothendieck, and J. Dieudon\'{e}, \emph{El\'{e}ments de geometrie alg\'{e}brique.}, \emph{Publ. Inst. des Hautes Etudes de Science}, \textbf{4}, 1960. |
|
|
| \bibitem{NP1973} |
\bibitem{NP1973} |
| N. Popescu, \emph{Abelian Categories with Applications to Rings and Modules.}, New York and London: Academic Press., |
N. Popescu, \emph{Abelian Categories with Applications to Rings and Modules.}, New York and London: Academic Press., |
| 1973, 2nd edn. 1975, \emph{(English translation by I.C. Baianu)}. |
1973, 2nd edn. 1975, \emph{(English translation by I.C. Baianu)}. |
|
|
| \end{thebibliography} |
\end{thebibliography} |
