Geodesic
Homology of Deleted Products of Contractible 2-Dimensional Polyhedra. II
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 842-854

Voir la notice de l'article provenant de la source Cambridge University Press

The deleted product space X* of a space X is X × X — △. In (4), I computed the homology groups of the deleted product of a polyhedron in a subcollection (see §2 of this paper for the definition of ) of the finite, contractible, 2-dimensional polyhedra. In the present paper, I show that there is an infinite subcollection of such that the deleted product of each member of has the homotopy type of the 2-sphere. 
Patty, C. W. Homology of Deleted Products of Contractible 2-Dimensional Polyhedra. II. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 842-854. doi: 10.4153/CJM-1968-081-7
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[1] 1. Hu, S. T., Isotopy invariants of topological spaces, Proc. Roy. Soc. (London), Ser. A 255 1960) 331–366. Google Scholar

[2] 2. Patty, C. W., The fundamental group of certain deleted product spaces, Trans. Amer. Math. Soc. 105 (1962), 314–321. Google Scholar

[3] 3. Patty, C. W., Isotopy classes of imbeddings Trans. Amer. Math. Soc. 128 (1967), 232–247. Google Scholar

[4] 4. Patty, C. W., Homology of deleted products of contractible 2-dimensional polyhedra. I, Can. J. Math. 20 (1968), 416–441. Google Scholar

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