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Extending Persistence Using Poincaré and Lefschetz Duality

✍ Scribed by David Cohen-Steiner; Herbert Edelsbrunner; John Harer


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
622 KB
Volume
9
Category
Article
ISSN
1615-3375

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Poincaré duality and Serre fibrations
✍ N.B. Brodskij; E.V. Shchepin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 484 KB

We prove that a proper map f : n/r-+ N" between manifolds is a Serre fibration if it has the homotopy lifting property for (m ~ n)-dimensional polyhedra, where n is close to m/2. o 1997 Elsevier Science B.V.