Convergence and Uniformity in Topology. (AM-2), Volume 2 / / John W. Tukey |
Autore | Tukey John W. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (108 pages) |
Disciplina |
510.82
513.83 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Topology |
Soggetto non controllato |
Absolute value
Abstract algebra Algebraic topology Axiom of choice Binary relation Cardinal number Characteristic function (probability theory) Closed set Closure operator Combinatorial topology Compact space Complete lattice Complete metric space Continuous function (set theory) Continuous function Countable set Counterexample Dimension theory (algebra) Dimension theory Discrete space Domain of a function Empty set Enumeration Equivalence class Equivalence relation Existential quantification Family of sets Finite set General topology Geometry Hahn–Banach theorem Hausdorff space Homeomorphism Infimum and supremum Integer Interval (mathematics) Lebesgue constant (interpolation) Limit point Linear space (geometry) Mathematician Mathematics Maximal element Metric space Monotonic function Mutual exclusivity Natural number Negation Normal space Open set Ordinal number Real number Regular space Requirement Scientific notation Separation axiom Set (mathematics) Set theory Special case Subsequence Subset Suggestion Summation Superspace Theorem Theory Topological algebra Topology Total order Transfinite induction Transfinite number Transfinite Transitive relation Tychonoff space Ultrafilter Uncountable set Uniform continuity Union (set theory) Upper and lower bounds Zorn's lemma |
ISBN | 1-4008-8219-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Introduction -- Contents -- General Usage of The Alphabets -- Special Usage of The Alphabets -- Usage of General Symbols -- Chapter I. Ordering -- Chapter II. Direction -- Chapter III. Convergence -- Chapter IV. Compactness -- Chapter V. Normality -- Chapter VI. Structs -- Chapter VII. Function - Spaces -- Chapter VIII. Examples -- Chapter IX. Discussion -- Bibliography -- Index |
Record Nr. | UNINA-9910154748703321 |
Tukey John W.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
Autore | Cordaro Paulo |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (398 pages) |
Disciplina | 515/.782 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Hyperfunctions
Submanifolds |
Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
ISBN | 1-4008-8256-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
Record Nr. | UNINA-9910154744403321 |
Cordaro Paulo
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
Autore | Faltings Gerd |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (113 pages) |
Disciplina | 516.3/5 |
Altri autori (Persone) | ZhangShouwu |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
ISBN | 1-4008-8247-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
Record Nr. | UNINA-9910154744103321 |
Faltings Gerd
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane |
Autore | McShane Edward J. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 512.86 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Group theory
Integrals |
Soggetto non controllato |
Abelian group
Addition Axiom Baire function Banach space Big O notation Binary operation Binary relation Borel set Bounded function Cartesian product Characteristic function (probability theory) Circumference Closure (mathematics) Coefficient Combination Commutative algebra Compact space Complete lattice Continuous function (set theory) Continuous function Contradiction Corollary Coset Countable set Directed set Domain of a function Elementary function Empty set Equation Equivalence class Estimation Existential quantification Finite set Fubini's theorem Hilbert space I0 Infimum and supremum Integer L-function Lattice (order) Lebesgue integration Limit (mathematics) Limit superior and limit inferior Linear map Measure (mathematics) Monotonic function Natural number Order of operations Parity (mathematics) Partially ordered group Partially ordered set Pointwise convergence Pointwise Polynomial Projection (linear algebra) Quadratic function Real number Requirement Riemann integral Riemann–Stieltjes integral Scalar multiplication Scientific notation Self-adjoint operator Set (mathematics) Set function Sign (mathematics) Special case Subset Subtraction Summation Theorem Unification (computer science) Upper and lower bounds |
ISBN | 1-4008-8230-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154751203321 |
McShane Edward J.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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