A01=C. Ambrose Rogers
A01=John E. Jayne
Author_C. Ambrose Rogers
Author_John E. Jayne
Axiom of choice
Banach space
Borel set
Bounded set
Bounded set (topological vector space)
Cantor set
Cardinal number
Category=PBKF
Compact space
Complete metric space
Completely metrizable space
Connected space
Continuous function
Continuous function (set theory)
Contradiction
Convex combination
Convex function
Convex hull
Convex set
Countable set
Dense set
Diagonal lemma
Differentiable function
Dual norm
Dual space
Empty set
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence theorem
Extreme point
Family of sets
Feasible region
Function (mathematics)
Functional analysis
Hausdorff space
Homeomorphism
Hyperplane
Limit of a sequence
Limit point
Line segment
Linear programming
Linear space (geometry)
Linear subspace
Loss function
Mathematical optimization
Mathematics
Metric space
Normed vector space
Nowhere dense set
Open set
Paracompact space
Partition of unity
Peano curve
Pointwise
Relative interior
Semi-continuity
Special case
Subderivative
Subset
Theorem
Tietze extension theorem
Topological space
Topology
Topology of uniform convergence
Uncountable set
Uniform continuity
Uniform convergence
Uniformization theorem
Unit interval
Unit sphere
Unit vector
Weak topology
Weakly compact
Product details
- ISBN 9780691096285
- Weight: 397g
- Dimensions: 152 x 235mm
- Publication Date: 11 Aug 2002
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of what is known and proven about selectors--and what remains to be found. The authors focus on selection theorems that are related to the axiom of choice, particularly selectors of small Borel or Baire classes. After examining some of the relevant work of Michael and Kuratowski & Ryll-Nardzewski and presenting background material, the text constructs selectors obtained as limits of functions that are constant on the sets of certain partitions of metric spaces. These include selection theorems for maximal monotone maps, for the subdifferential of a continuous convex function, and for some geometrically defined maps, namely attainment and nearest-point maps. Assuming only a basic background in analysis and topology, this book is ideal for graduate students and researchers who wish to expand their general knowledge of selectors, as well as for those who seek the latest results.
John E. Jayne, PhD, DSc, is Professor of Mathematics at University College London and has been President of the International Mathematics Competition for university students since its inception in 1994. C. Ambrose Rogers, DSc, FRS, is Professor Emeritus at University College London, where he was Astor Professor of Mathematics for almost thirty years. He is an Elected Fellow of the Royal Society and a former President of the London Mathematical Society. His many awards and honors include the Junior Berwick Prize and De Morgan Medal of the London Mathematical Society.
