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Samuel Eilenberg




His main interest was Algebraic Topology . He worked on the axiomatic treatment of Homology Theory with Norman Steenrod (whose names the Eilenberg-Steenrod Axioms bear), and on Homological Algebra with Saunders Mac Lane , wrote a book on Homological Algebra with Henri Cartan that became a classic, and took part in the Bourbaki group meetings. Later in life he worked mainly in pure Category Theory , being one of the founders of the field. The ''Eilenberg telescope'' is a surprising construction, applying the Telescoping Cancellation idea to Projective Module s. Eilenberg also wrote an important book on Automata Theory .

The X-machine (a form of automaton) was introduced in 1974 by Samuel Eilenberg.


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REFERENCES

  • S.Eilenberg. ''Automata, Languages and Machines''. ISBN 0122340019



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