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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
DOI: 10.2307/2045363
Stable URL: http://www.jstor.org/stable/2045363
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Note on Epimorphisms and Monomorphisms in Homotopy Theory
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Abstract

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.

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