Topology general algebraic applications (4 Ergebnisse)

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

Zustand: New. In English.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Some problems on generalized homogeneity of continua.- On the property of Kelley in hyperspaces.- Set-valued mappings and extension of continuous mappings.- Supertopological spaces and a special class of extensions of topological spaces.- On hypermaps, which are trivial bundles.- Paracompactness of uniform spaces in the spirit of the Tamano's theorem.- On rim-type of spaces.- Bitopological spaces.- On strongly zero-dimensional F -metrizable stratifiable spaces.- Open images of solenoids.- Arithmetical properties of the product of homeomorphism types of spaces.- The sequential absolute and the other analogs of the absolute.- Nettings in zero-dimensional compact spaces.- Topological characterization of the hyperstonean cover.- The advantages of strong shape theory.- On global properties of maps IV.- Knots and stable homotopy.- On the homotopical structure and applications of Morava's extraordinary K-theories.- Coherent prohomotopy and a strong shape category of topological spaces.- K i-invariants of chain complexes.- Gluing of plane real algebraic curves and constructions of curves of degrees 6 and 7.- Limits of local systems of topological spaces.- C(X) determines X.- Divisible Abelian groups admitting minimal topologies.- External torsion.- Verma modules over the virasoro algebra.- Algebraic properties of some integrable Hamiltonian systems.- On dense subalgebras of post algebras and Menger algebras of continuous functions.- On equivalent existence properties in topology and in optimization theory.- On the lattice of epidense subcategories of a topological category.- On the intersection of the close algebraic curves.- The finiteness problem for limit cycles of polynomial vector fields on the plane. Germs of saddle resonant vector fields and nonhausdorff Riemannsurfaces.- On the virtual cohomology dimension of the Teichmüller modular group.- Equivariant transversality and automorphism groups.- Bifurcation of the periodic points of maps of the interval.- On some homotopy invariants of pseudoriemannian metrics.- Hyperbolic attractors of codimension one.- Nilpotent homotopy types of closed 3-manifolds.- Some recent advances in the spectral theory of locally convex algebras.- Classification of Montesinos knots.…

Zustand: gut. 2000. Bridging between general and algebraic topology courses, this text begins with set theory, moves on to a thorough treatment of topological spaces, then explores connectedness and compactness. Exercises are varied in difficulty from the routine to the challenging. For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. ISBN: 0131816292 For a senior undergraduate or first year graduate-level course in Introduction to Topology. Appropriate for a one-semester course on both general and algebraic topology or separate courses treating each topic separately. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences. *Follows the present-day trend of exploring the subject much more extensively with one semester devoted to general topology and a second to algebraic topology. *Exercises - Varied in difficulty from the routine to the challenging. Supplementary exercises at the end of several chapters explore additional topics. *Deepen students' understanding of concepts and theorems just presented rather than simply test comprehension. Content: GENERAL TOPOLOGY. 1. Set Theory and Logic 2. Topological Spaces and Continuous Functions 3. Connectedness and Compactness 4. Countability and Separation Axioms 5. The Tychonoff Theorem 6. Metrization Theorems and Paracompactness 7. Complete Metric Spaces and Function Spaces 8. Baire Spaces and Dimension Theory II. ALGEBRAIC TOPOLOGY. 9. The Fundamental Group 10. Separation Theorems in the Plane 1. The Seifert-van Kampen Theorem 12. Classification of Surfaces. 13. Classification of Covering Spaces. 14. Applications to Group Theory Index. Detailangaben zum Buch - Topology: 2nd edition (Featured Titles for Topology) EAN (ISBN-13): 9780131816299 ISBN (ISBN-10): 0131816292 Erscheinungsjahr: 1999 Herausgeber: Pearson ISBN/EAN: 0131816292 ISBN: 0-13-181629-2 ISB: 978-0-13-181629-9 Autor des Buches: james munkres Titel des Buches: topology, title Topology 2nd edition James Munkres Second Edition In englischer Sprache. 537 pages. 183 x 242 mm.…