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January, 2002 Phantom maps and injectivity of forgetful maps
Jianzhong PAN, Moo Ha Woo
J. Math. Soc. Japan 54(1): 197-214 (January, 2002). DOI: 10.2969/jmsj/1191593960

Abstract

In this note, we attack a question about the injectivity of the forgetful map posed ten years ago by Tsukiyama. We show that we can insert the forgetful map in an exact sequence and that the problem can be reduced to the computation of the sequence which turns out unexpectedly to be related to the phantom map problem and the famous Halperin conjecture in rational homotopy theory.

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Jianzhong PAN. Moo Ha Woo. "Phantom maps and injectivity of forgetful maps." J. Math. Soc. Japan 54 (1) 197 - 214, January, 2002. https://doi.org/10.2969/jmsj/1191593960

Information

Published: January, 2002
First available in Project Euclid: 5 October 2007

zbMATH: 1016.55008
MathSciNet: MR1864933
Digital Object Identifier: 10.2969/jmsj/1191593960

Subjects:
Primary: 55P10
Secondary: 55P62

Keywords: forgetful map , Homotopy equivalences , phantom map

Rights: Copyright © 2002 Mathematical Society of Japan

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Vol.54 • No. 1 • January, 2002
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