Geodesic
Degree One Maps and a Realization Theorem
Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 769-796

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

In [8] we classified degree one maps denned on Sp × Sg × Sr . In this paper we shall study degree one maps defined on the n-dimensional torus T = S l × S l × ... × S 1 as well as certain general properties of degree one maps. Theorem 1.1 must be known to experts; however we could not find it in the literature. Theorem 1.5 b) says that a Poincaré complex is nilpotent if it admits a degree one map from another nilpotent Poincaré complex. Theorem 1.5 a) means that certain stable properties are preserved by degree one maps and we use it later in Section 2. 
Shastri, Anant R. Degree One Maps and a Realization Theorem. Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 769-796. doi: 10.4153/CJM-1982-054-6
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