Presentation of homotopy types under a space
Baues, Hans-Joachim ; Bleile, Beatrice
arXiv, 1005.4810 / Harvested from arXiv
Text on arXiv
We compare the structure of a mapping cone in the category Top^D of spaces under a space D with differentials in algebraic models like crossed complexes and quadratic complexes. Several subcategories of Top^D are identified with algebraic categories. As an application we show that there are exactly 16 essential self--maps of S^2 x S^2 fixing the diagonal.
Publié le : 2010-05-26
Classification:  Mathematics - Algebraic Topology,  55-02, 55P05, 55P15, 55Q15, 55Q35, 55U35, 18B40 
@article{1005.4810,
     author = {Baues, Hans-Joachim and Bleile, Beatrice},
     title = {Presentation of homotopy types under a space},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1005.4810}
}

Baues, Hans-Joachim; Bleile, Beatrice. Presentation of homotopy types under a space. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1005.4810/