Listing 1 - 2 of 2 |
Sort by
|
Choose an application
The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43, will be forthcoming.
Algebraic fields. --- Geometry, Algebraic. --- Abelian group. --- Abstract algebra. --- Additive group. --- Affine variety. --- Algebraic closure. --- Algebraic curve. --- Algebraic equation. --- Algebraic function field. --- Algebraic function. --- Algebraic geometry. --- Algebraic number theory. --- Algebraic surface. --- Algebraic variety. --- Big O notation. --- Birational geometry. --- Branch point. --- Cardinal number. --- Cardinality. --- Complex number. --- Degrees of freedom (statistics). --- Dimension. --- Equation. --- Equivalence class. --- Existential quantification. --- Field extension. --- Field of fractions. --- Foundations of Algebraic Geometry. --- Function field. --- Galois group. --- Generic point. --- Ground field. --- Homomorphism. --- Ideal theory. --- Integer. --- Irrational number. --- Irreducible component. --- Linear algebra. --- Local ring. --- Mathematics. --- Max Noether. --- Maximal element. --- Maximal ideal. --- Natural number. --- Nilpotent. --- Noetherian ring. --- Null set. --- Order by. --- Order type. --- Parameter. --- Primary ideal. --- Prime ideal. --- Prime number. --- Projective variety. --- Quantity. --- Quotient ring. --- Ramification group. --- Rational function. --- Rational number. --- Real number. --- Resolution of singularities. --- Riemann surface. --- Ring (mathematics). --- Special case. --- Splitting field. --- Subgroup. --- Subset. --- Theorem. --- Theory of equations. --- Transcendence degree. --- Two-dimensional space. --- Uniformization. --- Valuation ring. --- Variable (mathematics). --- Vector space. --- Zero divisor. --- Zorn's lemma.
Choose an application
Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.
Algebraic spaces. --- Ramsey theory. --- Ramsey theory --- Algebraic spaces --- Mathematics --- Algebra --- Physical Sciences & Mathematics --- Spaces, Algebraic --- Geometry, Algebraic --- Combinatorial analysis --- Graph theory --- Analytic set. --- Axiom of choice. --- Baire category theorem. --- Baire space. --- Banach space. --- Bijection. --- Binary relation. --- Boolean prime ideal theorem. --- Borel equivalence relation. --- Borel measure. --- Borel set. --- C0. --- Cantor cube. --- Cantor set. --- Cantor space. --- Cardinality. --- Characteristic function (probability theory). --- Characterization (mathematics). --- Combinatorics. --- Compact space. --- Compactification (mathematics). --- Complete metric space. --- Completely metrizable space. --- Constructible universe. --- Continuous function (set theory). --- Continuous function. --- Corollary. --- Countable set. --- Counterexample. --- Decision problem. --- Dense set. --- Diagonalization. --- Dimension (vector space). --- Dimension. --- Discrete space. --- Disjoint sets. --- Dual space. --- Embedding. --- Equation. --- Equivalence relation. --- Existential quantification. --- Family of sets. --- Forcing (mathematics). --- Forcing (recursion theory). --- Gap theorem. --- Geometry. --- Ideal (ring theory). --- Infinite product. --- Lebesgue measure. --- Limit point. --- Lipschitz continuity. --- Mathematical induction. --- Mathematical problem. --- Mathematics. --- Metric space. --- Metrization theorem. --- Monotonic function. --- Natural number. --- Natural topology. --- Neighbourhood (mathematics). --- Null set. --- Open set. --- Order type. --- Partial function. --- Partially ordered set. --- Peano axioms. --- Point at infinity. --- Pointwise. --- Polish space. --- Probability measure. --- Product measure. --- Product topology. --- Property of Baire. --- Ramsey's theorem. --- Right inverse. --- Scalar multiplication. --- Schauder basis. --- Semigroup. --- Sequence. --- Sequential space. --- Set (mathematics). --- Set theory. --- Sperner family. --- Subsequence. --- Subset. --- Subspace topology. --- Support function. --- Symmetric difference. --- Theorem. --- Topological dynamics. --- Topological group. --- Topological space. --- Topology. --- Tree (data structure). --- Unit interval. --- Unit sphere. --- Variable (mathematics). --- Well-order. --- Zorn's lemma.
Listing 1 - 2 of 2 |
Sort by
|