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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
| Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
| Autore | Munkres James R. |
| Edizione | [Revised edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (132 pages) : illustrations |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential topology |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
| ISBN | 1-4008-8265-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
| Record Nr. | UNINA-9910154744903321 |
Munkres James R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
| Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow |
| Autore | Mostow G. Daniel |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (205 pages) |
| Disciplina | 516/.36 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Riemannian manifolds
Symmetric spaces Lie groups Rigidity (Geometry) |
| Soggetto non controllato |
Addition
Adjoint representation Affine space Approximation Automorphism Axiom Big O notation Boundary value problem Cohomology Compact Riemann surface Compact space Conjecture Constant curvature Corollary Counterexample Covering group Covering space Curvature Diameter Diffeomorphism Differentiable function Dimension Direct product Division algebra Ergodicity Erlangen program Existence theorem Exponential function Finitely generated group Fundamental domain Fundamental group Geometry Half-space (geometry) Hausdorff distance Hermitian matrix Homeomorphism Homomorphism Hyperplane Identity matrix Inner automorphism Isometry group Jordan algebra Matrix multiplication Metric space Morphism Möbius transformation Normal subgroup Normalizing constant Partially ordered set Permutation Projective space Riemann surface Riemannian geometry Sectional curvature Self-adjoint Set function Smoothness Stereographic projection Subgroup Subset Summation Symmetric space Tangent space Tangent vector Theorem Topology Tubular neighborhood Two-dimensional space Unit sphere Vector group Weyl group |
| ISBN | 1-4008-8183-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter |
| Record Nr. | UNINA-9910154743303321 |
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Mostow G. Daniel
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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