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On phantom maps and a theorem of H. Miller
 A. Zabrodsky
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A mapf:X →Y is a phantom map if any composition off with a map from a finite complex intoX is null homotopic. The proof of the Sullivan conjecture by H. Miller enables us to understand more deeply this phenomena. We prove, among other things, that any map from a space with finitely many nonvanishing homotopy groups into a finite complex is phantom and that any fibration over a 2connected space with finitely many nonvanishing homotopy groups and with fiber a finite complex is trivial over each skeleton of the base.
Prof. Zabrodsky died in an automobile accident on November 20, 1986.
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 Title
 On phantom maps and a theorem of H. Miller
 Journal

Israel Journal of Mathematics
Volume 58, Issue 2 , pp 129143
 Cover Date
 19870601
 DOI
 10.1007/BF02785672
 Print ISSN
 00212172
 Online ISSN
 15658511
 Publisher
 SpringerVerlag
 Additional Links
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 Authors

 A. Zabrodsky ^{(1)}
 Author Affiliations

 1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel