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Norman Steenrod characterized Lefschetz ' impact as editor as follows :" The importance to American mathematicians of a first-class journal is that it sets high standards for them to aim at.
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.
* Samuel Eilenberg & Norman E. Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. xv + 328 pp.
The concept of an exact sequence only appeared in print in the 1952 book Foundations of Algebraic Topology by Samuel Eilenberg and Norman Steenrod where the results of Mayer and Vietoris were expressed in the modern form.
Norman Earl Steenrod ( April 22, 1910October 14, 1971 ) was a preeminent mathematician most widely known for his contributions to the field of algebraic topology.
The term is believed to have been coined by the mathematician Norman Steenrod, himself one of the developers of the categorical point of view.
The origin of these studies was the work of Pontryagin, Postnikov, and Norman Steenrod, who first defined the Pontryagin square, Postnikov square, and Steenrod square operations for singular cohomology, in the case of mod 2 coefficients.
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