Geodesic
Self-maps of spaces in fibrations
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 289-313.

Voir la notice de l'article provenant de la source International Press of Boston

Self-maps of spaces in fibrations which appear in Postnikov systems are studied. The results are applied to obtain relations among self-homotopy equivalences of spaces in those fibrations to prove inequalities among self-closeness numbers of those spaces. Making use of the models of Sullivan, self-closeness numbers of rational spaces are also examined and some examples of rational spaces are studied precisely.
DOI : 10.4310/HHA.2018.v20.n2.a15
Classification : 55P10, 55P62, 55Q05, 55R05
Keywords: self-homotopy equivalence, fibration, self-closeness number, Sullivan model 
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     author = {Nobuyuki Oda and Toshihiro Yamaguchi},
     title = {Self-maps of spaces in fibrations},
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     pages = {289--313},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.4310/HHA.2018.v20.n2.a15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a15/}
}
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Nobuyuki Oda; Toshihiro Yamaguchi. Self-maps of spaces in fibrations. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 289-313. doi : 10.4310/HHA.2018.v20.n2.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a15/

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