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We define the relative self-closeness number $N{\mathcal E}(g)$ of a map $g:X\overset{}{\to} Y$, which is a generalization of the self-closeness number $N{\mathcal E}(X)$ of a connected CW complex $X$ defined by Choi and Lee \cite{ChoiLee15}. Then we compare $N{\mathcal E}(p)$ with $N{\mathcal E}(X)$ for a fibration $X\to E\overset{p}{\to} Y$. Furthermore we obtain its rationalized result.
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참고문헌 (7)
참고문헌 신청
Ho Won Choi / 2015 / Certain numbers on the groups of self-homotopy equivalences / Topology and its Applications 181:104~111
Y. F´elix / 2001 / Rational Homotopy Theory / Springer-Verlag
P. A. Griffiths / 1981 / Rational homotopy theory and differential forms / Birkh¨auser
S. Halperin / 1985 / Aspects of topology / Cambridge Univ. Press :293~306
P. Hilton / 1975 / Localization of nilpotent groups and spaces / NorthHolland Publishing Co
Y. F´elix / 2001 / Rational Homotopy Theory / Springer-Verlag
P. A. Griffiths / 1981 / Rational homotopy theory and differential forms / Birkh¨auser
S. Halperin / 1985 / Aspects of topology / Cambridge Univ. Press :293~306
P. Hilton / 1975 / Localization of nilpotent groups and spaces / NorthHolland Publishing Co
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