Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Solomon Lefschetz pioneered the field of topology--the study of the properties of many�sided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more in-depth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twenty-one to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph.D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a world-class scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946.

Topology. --- Addition. --- Algebraic topology. --- Banach space. --- Barycentric coordinate system. --- C space. --- Centroid. --- Closed set. --- Compact space. --- Connected space. --- Continuous function. --- Contractible space. --- Convex set. --- Corollary. --- Diameter. --- Dimension (vector space). --- Existential quantification. --- General topology. --- Homology (mathematics). --- Homotopy. --- Intersection (set theory). --- K0. --- Local property. --- Locally compact space. --- Lowest common denominator. --- Manifold. --- Metric space. --- Metrization theorem. --- Notation. --- Parallelepiped. --- Polyhedron. --- Polytope. --- Retract. --- Simplex. --- Simplicial complex. --- Subset. --- Theorem. --- Topological space. --- Topology. --- Vector space.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The description for this book, Elementary Differential Topology. (AM-54), Volume 54, will be forthcoming.

Differential topology. --- 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. --- 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).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.

Algebraic topology. --- Transformation groups. --- Abelian group. --- Addition. --- Analytic function. --- Armand Borel. --- Big O notation. --- Bijection. --- Chain complex. --- Circle group. --- Codimension. --- Coefficient. --- Cohomology ring. --- Cohomology. --- Commutative diagram. --- Complex number. --- Conjugacy class. --- Connected component (graph theory). --- Connected space. --- Continuous function. --- Corollary. --- Counterexample. --- Cup product. --- Cyclic group. --- Diffeomorphism. --- Differentiable function. --- Dimension (vector space). --- Dimension function. --- Dimension. --- Direct product. --- Direct sum. --- Embedding. --- Equivariant map. --- Euclidean space. --- Exact sequence. --- Exponential function. --- Fiber bundle. --- Field of fractions. --- Finite group. --- Finitely generated module. --- Functor. --- Group action. --- H-space. --- Hausdorff space. --- Homeomorphism. --- Homogeneous space. --- Homological algebra. --- Homology (mathematics). --- Homology sphere. --- Homomorphism. --- Ideal (ring theory). --- Identity component. --- Inner automorphism. --- Invariant subspace. --- Lie algebra. --- Lie group. --- Linear combination. --- Linearity. --- Locally compact space. --- Manifold. --- Mathematical induction. --- Maximal torus. --- Metatheorem. --- Metric space. --- Module (mathematics). --- Monotonic function. --- N-sphere. --- Neighbourhood (mathematics). --- Open set. --- Orientability. --- P-group. --- Paracompact space. --- Partially ordered set. --- Polynomial. --- Presheaf (category theory). --- Prime ideal. --- Projective space. --- Quotient space (topology). --- Real variable. --- Riemannian manifold. --- Scientific notation. --- Sheaf (mathematics). --- Simply connected space. --- Solvable group. --- Special case. --- Spectral sequence. --- Subgroup. --- Subset. --- Support (mathematics). --- Sylow theorems. --- Tangent vector. --- Theorem. --- Topological group. --- Topological space. --- Torsion subgroup. --- Transpose. --- Unique factorization domain. --- Universal bundle. --- Universal coefficient theorem. --- Vector space. --- Weyl group.