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Note on Epimorphisms and Monomorphisms in Homotopy Theory
Peter Hilton and Joseph Roitberg
Proceedings of the American Mathematical Society
Vol. 90, No. 2 (Feb., 1984), pp. 316-320
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045363
Page Count: 5
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We study epimorphisms e: X → X and monomorphisms m: X → X in the pointed homotopy category of path-connected CW-spaces. Our principal theorems allow us to infer that under suitable finiteness and fundamental group assumptions, such are in fact homotopy equivalences.
Proceedings of the American Mathematical Society © 1984 American Mathematical Society