Problemas de algebricidad en topología diferencial



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Ruiz Sancho, Jesús María (1994) Problemas de algebricidad en topología diferencial. In Contribuciones matemáticas : libro-homenaje al profesor José Javier Etayo Miqueo. Editorial Complutense, Madrid, pp. 127-143. ISBN 84-7491-510-4


This is a research survey on results dealing with the following question: Let M be a compact smooth manifold and A a family of geometric objects related to M such that there exists some natural equivalence of the pairs (M,A). Does every equivalence class contain some kind of algebraic representative? The survey deals with the cases A = ∅, presenting the achievements of the work of Seifert-Nash-Tognoli, with vector bundles and with realizations of homology classes. In cases of particular interest the methods of proof are outlined.

Item Type:Book Section
Uncontrolled Keywords:Research survey; compact smooth manifold; equivalence class; vector bundles; homology classes
Subjects:Sciences > Mathematics > Algebraic geometry
Sciences > Mathematics > Topology
ID Code:21244
Deposited On:06 May 2013 18:15
Last Modified:12 Dec 2018 15:13

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