1Mohammed Ben Abdellah University, Faculty of Sciences, B. P. 1796 Fez, Morocco.
E-mail: akheldouni@yahoo.fr
It is the aim of this paper to provide an elementary definition of CW-complexes with duality and envisage some problems of gluing and cutting.
Key words: Poincaré duality, homotopy-equivalence, simple-homotopy equivalence.
El propósito de este artículo es suministrar una definición elemental de CW-complejos con dualidad y prever algunos problemas de pegado y cortado.
Palabras clave: Dualidad de Poincaré, equivalencia homotópica, equivalencia homotópica simple.
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[1] M. M. COHEN, A course in simple homotopy theory, Springer Verlag, Berlin, Heidelberg, New York, 1972. [ Links ]
[2] B. IVERSEN, Cohomology of sheaves, Springer-Verlag, Berlin, Heidelberg, New York, 1986. [ Links ]
[3] A. KHELDOUNI, Sur la dualité de Poincaré, Extracta Mathematicae 14 (1999) 3, 247-266. [ Links ]
[4] J. R. KLEIN, Poincaré duality spaces, Survey on surgery theory, Ann. of Math. Stud. 145 (2000) 1, 135-165. [ Links ]
[5] J. LANNES, C. MORLET, & F. LATOUR, Géométrie des complexes de Poincaré et chirurgie, preprint IHES, (1972). [ Links ]
[6] N. LEVITT, Application of engulfing, Thesis Princeton University, (1967). [ Links ]
[7] M. SPIVAK, Spaces satisfying Poincaré duality, Topology 6 (1967), 77-101. [ Links ]
[8] R. M. SWITZER, Algebraic topology homotopy and homology, Springer-Verlag, Berlin, Heidelberg, New York, 1975. [ Links ]
[9] C. T. WALL, Poincaré Complexes I, Ann. of Math. 86 (1967), 213-245. [ Links ]