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This volume mainly focuses on various comprehensive topological
theories, with the exception of a paper on combinatorial topology
versus point-set topology by I.M. James and a paper on the history
of the normal Moore space problem by P. Nyikos. The history of the
following theories is given: pointfree topology, locale and frame
theory (P. Johnstone), non-symmetric distances in topology (H.-P.
KA1/4nzi), categorical topology and topological constructs (E.
Lowen-Colebunders and B. Lowen), topological groups (M. G.
Tkacenko) and finally shape theory (S. Mardesic and J. Segal).
Together with the first two volumes, this work focuses on the
history of topology, in all its aspects. It is unique and presents
important views and insights into the problems and development of
topological theories and applications of topological concepts, and
into the life and work of topologists. As such, it will encourage
not only further study in the history of the subject, but also
further mathematical research in the field. It is an invaluable
tool for topology researchers and topology teachers throughout the
mathematical world.
This account of the History of General Topology has grown out of
the special session on this topic at the American Mathematical
Society meeting in San Anto- nio, Texas, 1993. It was there that
the idea grew to publish a book on the historical development of
General Topology. Moreover it was felt that it was important to
undertake this project while topologists who knew some of the early
researchers were still active. Since the first paper by Frechet,
"Generalisation d'un theoreme de Weier- strass", C.R. Acad. Sci.
139, 1904, 848-849, and Hausdorff's classic book, "Grundziige der
Mengenlehre", Leipzig, 1914, there have been numerous de-
velopments in a multitude of directions and there have been many
interactions with a great number of other mathematical fields. We
have tried to cover as many of these as possible. Most
contributions concern either individual topologists, specific
schools, specific periods, specific topics or a combination of
these.
This book is the second volume of the Handbook of the History of
General Topology. As was the case for the first volume, the
contributions contained in it concern either individual
topologists, specific schools of topology, specific periods of
development, specific topics or a combination of these. The second
volume focuses on the work of famous topologists, such as W.
Sierpinski, K. Kuratowski (both by R. Engelkind), S. Mazurkiewicz
(by R. Pol) and R.G. Bing (by M. Starbird). Furthermore, it
contains articles covering Uniform, Proximinal and Nearness
Concepts in Topology (by H.L. Bentley, H. Herrlich, M. Husek),
Hausdorff Compactifications (by R.E. Chandler, G. Faulkner),
Continua Theory (by J.J. Charatonik), Generalized Metrizable Spaces
(by R.E. Hodel), Minimal Hausdorff Spaces and Maximally Connected
Spaces (by J.R. Porter, R.M. Stephenson Jr.), Orderable Spaces (by
S. Purisch), Developable Spaces (by S.D. Shore) and The
Alexandroff-Sorgenfrey Line (by D.E. Cameron). Together with the
first volume and the forthcoming volume(s) this work on the history
of topology, in all its aspects, is unique, and presents important
views and insights into the problems and development of topological
theories and applications of topological concepts, and into the
life and work of topologists. As such it will encourage not only
further study in the history of the subject, but also further
mathematical research in the field. It is an invaluable tool for
topology researchers and topology teachers throughout the
mathematical world.
This account of the History of General Topology has grown out of
the special session on this topic at the American Mathematical
Society meeting in San Anto- nio, Texas, 1993. It was there that
the idea grew to publish a book on the historical development of
General Topology. Moreover it was felt that it was important to
undertake this project while topologists who knew some of the early
researchers were still active. Since the first paper by Frechet,
"Generalisation d'un theoreme de Weier- strass", C.R.Acad. Sci.
139, 1904, 848-849, and Hausdorff's classic book, "GrundZiige der
Mengenlehre", Leipzig, 1914, there have been numerous devel-
opments in a multitude of directions and there have been many
interactions with a great number of other mathematical fields. We
have tried to cover as many of these as possible. Most
contributions concern either individual topologists, specific
schools, specific periods, specific topics or a combination of
these.
This account of the History of General Topology has grown out of
the special session on this topic at the American Mathematical
Society meeting in San Anto- nio, Texas, 1993. It was there that
the idea grew to publish a book on the historical development of
General Topology. Moreover it was felt that it was important to
undertake this project while topologists who knew some of the early
researchers were still active. Since the first paper by Frechet,
"Generalisation d'un theoreme de Weier- strass", C.R. Acad. Sci.
139, 1904, 848-849, and Hausdorff's classic book, "Grundziige der
Mengenlehre", Leipzig, 1914, there have been numerous de-
velopments in a multitude of directions and there have been many
interactions with a great number of other mathematical fields. We
have tried to cover as many of these as possible. Most
contributions concern either individual topologists, specific
schools, specific periods, specific topics or a combination of
these.
This account of the History of General Topology has grown out of
the special session on this topic at the American Mathematical
Soeiety meeting in San Antonio, Texas, 1993. It was there that the
idea grew to publish a book on the historical development of
General Topology. Moreover it was feit that it was important to
undertake this project while topologists who knew some of the early
researchers were still active. Since the first paper by Frechet,
"Generalisation d'un theoreme de Weier- strass", C.R.Acad. Sei.
139, 1904, 848-849, and Hausdorff's c1assic book, "Grundzuge der
Mengenlehre", Leipzig, 1914, there have been numerous de-
velopments in a multitude of directions and there have been many
interactions with a great number of other mathematical fields. We
have tried to cover as many of these as possible. Most
contributions concern either individual topologists, speeific
schools, speeific periods, speeific topics or a combination of
these.
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