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Mod Two Homology and Cohomology
79,99 € *
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Mod Two Homology and Cohomology ab 79.99 € als Taschenbuch: Universitext. Auflage 2014. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,

Anbieter: hugendubel
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Mod Two Homology and Cohomology
79,99 € *
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Mod Two Homology and Cohomology ab 79.99 EURO Universitext. Auflage 2014

Anbieter: ebook.de
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Mod Two Homology and Cohomology
80,24 € *
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Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages:1. It leads more quickly to the essentials of the subject,2. An absence of signs and orientation considerations simplifies the theory,3. Computations and advanced applications can be presented at an earlier stage,4. Simple geometrical interpretations of (co)chains.Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients.The first chapters of this book may serve as a basis for a graduate-level introductory course to (co)homology. Simplicial and singular mod 2 (co)homology are introduced, with their products and Steenrod squares, as well as equivariant cohomology. Classical applications include Brouwer's fixed point theorem, Poincaré duality, Borsuk-Ulam theorem, Hopf invariant, Smith theory, Kervaire invariant, etc. The cohomology of flag manifolds is treated in detail (without spectral sequences), including the relationship between Stiefel-Whitney classes and Schubert calculus. More recent developments are also covered, including topological complexity, face spaces, equivariant Morse theory, conjugation spaces, polygon spaces, amongst others. Each chapter ends with exercises, with some hints and answers at the end of the book.

Anbieter: Dodax
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Homotopy Theory and Related Topics
52,90 CHF *
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List of publications (Hirosi Toda).- Talk on toda's work.- A conjecture of may on E2-term of the may spectral sequence for the cohomology of the steenrod algebra.- Continuous functions of several variable.- Cohomology of finite groups and brown-peterson cohomology II.- Some stably indecomposable loop spaces.- R-local homotopy theory.- Homotopy theory and closed geodesics.- A proof of the theorem characterizing the generalized J-homomorphism.- Some problems in non-abelian homotopical and homological algebra.- KO-codegree and real line bundles.- The power of mod P borel homology.- A note concerning the v 1-periodic homotopy of odd spheres.- The quasi KO-homology types of the real projective spaces.- On characterizing summands in the classifying space of a group, II.- On the complex cobordism ring as a Fock representation.- On the generalized homology of the connective fibering of BU.- On Jones's Kahn-Priddy theorem.- v 1-periodic homotopy of Sp(2), Sp(3), and S 2n .

Anbieter: Orell Fuessli CH
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Geometric Applications of Homotopy Theory I
76,90 CHF *
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Fixed point indices and left invariant framings.- Detecting framed manifolds in the 8 and 16 stems.- Algebraic k-theory with coefficients /p.- Torsion with rings for orders and finite groups.- Computations of gelfand-fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces.- Torsion free mod p H-spaces.- Representing framed bordism classes by manifolds embedded in low codimension.- The transfer and characteristic classes.- The quillen-grothendieck construction and extensions of pairings.- Endomorphisms of the cohomology ring of finite grassmann manifolds.- Immersing manifolds and 2-equivalence.- Mod 2 homotopy-associative H-spaces.- Lifting actions in fibrations.- Partial transfers.- Algebraic-topological problems in approximation theory.- H-spaces of a given rank.- Two examples on finite H-spaces.- Analytic equivariant K-homology.- Smooth spherical space forms.- Which Group Structures on S3 have a maximal torus?.- G surgery in the homotopy category and K0(Z(G)).- Finite nilpotent group actions on finite complexes.- Constructions of aspherical manifolds.- Embeddings and immersions of manifolds.- Free homotopy theory and localization.

Anbieter: Orell Fuessli CH
Stand: 03.06.2020
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Symposium on Algebraic Topology
41,90 CHF *
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Chain functors and homology theories.- A generalization of the whitehead theorem.- Some problems on numerical homotopy invariants.- Unstable divisibility of the chern character.- Sphere bundles over spheres and non-cancellation phenomena.- On the algebra BP* (BP).- Surgery, BPL, BTOP and the PL bordism rings.- The genus of an H ¿ space.- Bockstein spectral sequences, modified bockstein spectral sequences, and hopf algebras over certain frobenius rings.- Nearly frobenius algebras and their module categories.- Loop structures on the homotopy type of S3.- Sphere bundles over spheres as H-spaces mod p>2.

Anbieter: Orell Fuessli CH
Stand: 03.06.2020
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Algebraic Topology. Waterloo 1978
76,90 CHF *
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The structure of odd L-groups.- The surgery group L 3 h (Z(G)) for G a finite 2-group.- Whitehead torsion for PL fiber homotopy equivalences.- Localization in quadratic L-theory.- K2(Z[Z/5]) is generated by relations among 2¿ matrices.- Surgery spaces: Formulae and structure.- Balanced splitings of semi-free actions on homotopy spheres.- Some examples of finite group actions.- The homotopy structure of finite group actions on spheres.- Addition of equivariant surgery obstructions.- Obstructions to realizing equivariant witt classes.- Stable G-smoothing.- Linear actions on friendly spaces.- The kunneth formula in equivariant K-theory.- Isotopy classes of periodic diffeomorphisms on spheres.- Original brown-peterson spectra.- Bp-operations and mappings of stunted complex projective spaces.- On the stable homotopy of symplectic classifying and thom spaces.- New applications of commutative algebra to brown-peterson homology.- The signature of symplectic and self-conjugate manifolds.- Homology isomorphisms.- An isomorphism between products of abelian groups.- Axiomatic homotopy theory.- Construction of mod p H-spaces II.- The mod 3 cohomology of the exceptional lie group E8.- A counterexample to the transfer conjecture.- Infinite loop space theory revisited.- A J-homomorphism associated with a space of empty varieties (addenda and corrigenda to two papers on the J-homomorphism).

Anbieter: Orell Fuessli CH
Stand: 03.06.2020
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H Ring Spectra and Their Applications
61,90 CHF *
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Extended powers and H? ring spectra.- Miscellaneous applications in stable homotopy theory.- Homology operations for H? and Hn ring spectra.- The homotopy theory of H? ring spectra.- The homotopy groups of H? ring spectra.- The adams spectral sequence of H? ring spectra.- H? ring spectra via space-level homotopy theory.- Power operations in H ? d ring theories.- The mod p k-theory of QX.

Anbieter: Orell Fuessli CH
Stand: 03.06.2020
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Algebraic Topology. Waterloo 1978
51,99 € *
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The structure of odd L-groups.- The surgery group L 3 h (Z(G)) for G a finite 2-group.- Whitehead torsion for PL fiber homotopy equivalences.- Localization in quadratic L-theory.- K2(Z[Z/5]) is generated by relations among 2¿ matrices.- Surgery spaces: Formulae and structure.- Balanced splitings of semi-free actions on homotopy spheres.- Some examples of finite group actions.- The homotopy structure of finite group actions on spheres.- Addition of equivariant surgery obstructions.- Obstructions to realizing equivariant witt classes.- Stable G-smoothing.- Linear actions on friendly spaces.- The kunneth formula in equivariant K-theory.- Isotopy classes of periodic diffeomorphisms on spheres.- Original brown-peterson spectra.- Bp-operations and mappings of stunted complex projective spaces.- On the stable homotopy of symplectic classifying and thom spaces.- New applications of commutative algebra to brown-peterson homology.- The signature of symplectic and self-conjugate manifolds.- Homology isomorphisms.- An isomorphism between products of abelian groups.- Axiomatic homotopy theory.- Construction of mod p H-spaces II.- The mod 3 cohomology of the exceptional lie group E8.- A counterexample to the transfer conjecture.- Infinite loop space theory revisited.- A J-homomorphism associated with a space of empty varieties (addenda and corrigenda to two papers on the J-homomorphism).

Anbieter: Thalia AT
Stand: 03.06.2020
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