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Hart, Nagata, Vaughan Encyclopedia of General Topology - Elsevier Science.pdf

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Hart, Nagata, Vaughan Encyclopedia of General Topology - Elsevier Science.pdf

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文档介绍:Preface
General Topology has experienced rapid growth during the spaces in Recent Progress in General Topology (edited by
past fifty years, and nowadays its language and concepts Hušek and van Mill).
pervade much of modern day mathematics. This book is
intended for a munity of scholars and students
working in mathematics and other areas who want to be- Standard references
come acquainted quickly with the terminology and ideas of [E] R. Engelking, General Topology, 2nd edition, Sigma
General Topology that may be relevant to their work. Thus Ser. Pure Math., Vol. 6, Heldermann, Berlin (1989).
the book provides a source where the specialist and non- [HvM] M. Hušek and J. van Mill, eds., Recent Progress
specialist alike can find short introductions to both the basic in General Topology, North-Holland, Amsterdam
theory and the newest developments in General Topology.
(1992).
Because the book is designed for the reader who wants
[Ke] . Kelley, General Topology, Van Nostrand, New
to get a general view of the terminology with minimal time
York (1955), Reprinted as: Graduate Texts in Math.,
and effort there are very few proofs given; on occasion a
Vol. 27, Springer, New York (1975).
sketch of an argument will be given, more to illustrate a no-
[Ku] K. Kunen, Set Theory. An Introduction to Indepen-
tion than to justify a claim. We assume that the reader has
dence Proofs, Studies Logic Found. Math., Vol. 102,
a rudimentary knowledge of Set Theory, Algebra, Geometry
North-Holland, Amsterdam (1980).
and Analysis. A reader who wants to study the subject matter
[KV] K. Kunen and . Vaughan, eds., Handbook of
of one or more of the articles systematically (or who wants
Set-Theoretic Topology, North-Holland, Amsterdam
to see the proof of a particular result) will find sufficient ref-
(1984).
erences at the end of each article as well as in the books in
our list of standard references. [KI] K. Kuratowski, Topology, Vol. I, Academic Press,
N