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Dimension Theory
-
Witold Hurewicz
Language:
English
Published/Copyright:
1941
About this book
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.
Topics
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Frontmatter
i -
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Preface
v -
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Contents
vii -
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Chapter I. Introduction
1 -
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Chapter II. Dimension 0
10 -
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Chapter III. Dimension n
24 -
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Chapter IV. Dimension of Euclidean Spaces
37 -
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Chapter V. Covering and Imbedding Theorems
52 -
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Chapter VI. Mappings in Spheres and Applications
74 -
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Chapter VII. Dimension and Measure
102 -
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Chapter VIII. Homology and Dimension
108 -
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Appendix. Non Separable Metric Spaces
153 -
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Index
157 -
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List of Special Symbols
163
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 8, 2015
eBook ISBN:
9781400875665
Pages and Images/Illustrations in book
Main content:
174
eBook ISBN:
9781400875665
Keywords for this book
Theorem; Homomorphism; Cohomology; Subset; Compact space; Simplex; Dimension; Polytope; Summation; Existential quantification; Dimension theory (algebra); Dimension (vector space); Barycentric subdivision; Dimension function; Subgroup; Function (mathematics); Hausdorff dimension; Projection (linear algebra); Interior (topology); Homotopy; Invariance of domain; Separable space; Homeomorphism; N-sphere; Set (mathematics); Mathematical induction; Character group; Sign (mathematics); Continuous function (set theory); Homology (mathematics); Transfinite; Automorphism; Contractible space; Cauchy sequence; Euclidean space; Topological space; Special case; Boundary (topology); Cyclic group; Transitive relation; Parity (mathematics); Variable (mathematics); Upper and lower bounds; Metric space; Lp space; Hilbert cube; Algebraic connectivity; Diameter; Ordinal number; Point (geometry); Cardinal number; Linear space (geometry); Hausdorff space; Function space; Adjunction (field theory); Topology; Hilbert space; Annihilator (ring theory); Exponentiation; Topological group; Unit sphere; Algebraic number; Multiplicative group; Linear subspace; Combinatorics; Equation; Dense set; Subsequence; Set theory; Barycentric coordinate system
Audience(s) for this book
College/higher education;Professional and scholarly;
