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Book 4 in the Princeton Mathematical Series.Originally published in 1941.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Abelian group. --- Additive group. --- Adjunction (field theory). --- Algebraic connectivity. --- Algebraic number. --- Annihilator (ring theory). --- Automorphism. --- Barycentric coordinate system. --- Barycentric subdivision. --- Big O notation. --- Boundary (topology). --- Cantor set. --- Cardinal number. --- Cartesian coordinate system. --- Cauchy sequence. --- Character group. --- Circumference. --- Cohomology. --- Combinatorics. --- Compact space. --- Complete metric space. --- Complex number. --- Computation. --- Continuous function (set theory). --- Continuous function. --- Contractible space. --- Cyclic group. --- Dense set. --- Diameter. --- Dimension (vector space). --- Dimension function. --- Dimension theory (algebra). --- Dimension. --- Dimensional analysis. --- Discrete group. --- Disjoint sets. --- Domain of a function. --- Equation. --- Euclidean space. --- Existential quantification. --- Exponentiation. --- Function (mathematics). --- Function space. --- Fundamental theorem. --- Geometry. --- Group theory. --- Hausdorff dimension. --- Hausdorff space. --- Hilbert cube. --- Hilbert space. --- Homeomorphism. --- Homology (mathematics). --- Homomorphism. --- Homotopy. --- Hyperplane. --- Integer. --- Interior (topology). --- Invariance of domain. --- Inverse system. --- Linear space (geometry). --- Linear subspace. --- Lp space. --- Mathematical induction. --- Mathematics. --- Metric space. --- Multiplicative group. --- N-sphere. --- Natural number. --- Natural transformation. --- Ordinal number. --- Orientability. --- Parity (mathematics). --- Partial function. --- Partially ordered set. --- Point (geometry). --- Polytope. --- Projection (linear algebra). --- Samuel Eilenberg. --- Separable space. --- Separated sets. --- Set (mathematics). --- Set theory. --- Sign (mathematics). --- Simplex. --- Special case. --- Subgroup. --- Subsequence. --- Subset. --- Summation. --- Theorem. --- Three-dimensional space (mathematics). --- Topological group. --- Topological property. --- Topological space. --- Transfinite. --- Transitive relation. --- Unit sphere. --- Upper and lower bounds. --- Variable (mathematics).