Download A History of Duality in Algebraic Topology by J.C.Becker, D.H.Gottlieb PDF

By J.C.Becker, D.H.Gottlieb

Show description

Read or Download A History of Duality in Algebraic Topology PDF

Best geometry and topology books

Algebra and tiling: homomorphisms in the service of geometry

Usually questions on tiling house or a polygon bring about different questions. for example, tiling through cubes increases questions about finite abelian teams. Tiling by means of triangles of equivalent components quickly includes Sperner's lemma from topology and valuations from algebra. the 1st six chapters of Algebra and Tiling shape a self-contained remedy of those issues, starting with Minkowski's conjecture approximately lattice tiling of Euclidean house via unit cubes, and concluding with Laczkowicz's contemporary paintings on tiling via comparable triangles.

Algebraic Geometry and Geometric Modeling (Mathematics and Visualization)

This publication spans the gap among algebraic descriptions of geometric items and the rendering of electronic geometric shapes in accordance with algebraic versions. those contrasting issues of view encourage a radical research of the main demanding situations and the way they're met. The articles concentrate on very important sessions of difficulties: implicitization, category, and intersection.

Additional info for A History of Duality in Algebraic Topology

Sample text

Dold, A. (1974a), The fixed point index of fibre preserving maps, Inventiones Math. 25, 281–297. Dold, A. R. Acad. Sci. Paris, S´ er. A 278, 1291–1293. Dold, A. (1976), The fixed point transfer of fibre-preserving maps, Math. Zeitschr. 148, 215–244. Dold, A. and Puppe, D. (1980), Duality, trace, and transfer, Proceedings of the International Conference on Geometric Topology (Warsaw, 1978), PWN, Warsaw, pp. 81–82. H. (1937), Hopf ’s theorem for non-compact spaces, Proc. Nat. Acad. Sci. USA 23, 293–294.

S. and Spanier, E. (1950), The homology structure of fibre bundles, Proc. Nat. Acad. Sci. USA 36, 248–255. Conner, P. and Floyd, E. (1964), Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, Academic Press, New York. , Kamps, K. and Puppe, D. (1970), Homotopietheorie, Lecture Notes in Mathematics 157, Springer. Dieudonn´e, J. (1989), A History of Algebraic and Differential Topology 1900–1960, Birkh¨ auser, Boston. Dold, A. (1972), Lectures on Algebraic Topology, Springer–Verlag, Heidelberg.

Dold, A. (1972), Lectures on Algebraic Topology, Springer–Verlag, Heidelberg. Dold, A. (1974a), The fixed point index of fibre preserving maps, Inventiones Math. 25, 281–297. Dold, A. R. Acad. Sci. Paris, S´ er. A 278, 1291–1293. Dold, A. (1976), The fixed point transfer of fibre-preserving maps, Math. Zeitschr. 148, 215–244. Dold, A. and Puppe, D. (1980), Duality, trace, and transfer, Proceedings of the International Conference on Geometric Topology (Warsaw, 1978), PWN, Warsaw, pp. 81–82. H. (1937), Hopf ’s theorem for non-compact spaces, Proc.

Download PDF sample

Rated 4.64 of 5 – based on 28 votes