## Handbook of the History of General TopologyThis 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. |

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### Contents

KAZIMIERZ KURATOWSKI 18961980 | 433 |

399 | 450 |

R H Bings Human and Mathematical Vitality | 453 |

431 | 464 |

415 | 466 |

From Developments to Developable Spaces 467 | 468 |

A History of Generalized Metrizable Spaces | 541 |

The Historical Development of Uniform Proximal and Nearness | 578 |

A Retrospective 631 | 632 |

Minimal Hausdorff Spaces Then and Now 669 | 670 |

A History of Results on Orderability and Suborderability | 689 |

History of Continuum Theory 703 | 704 |

Study the History of Mathematics | 787 |

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### Common terms and phrases

abstract Acad Alexandroff Amer Math axioms Bing Bing's Bull Cantor Cantor set Cauchy chainable characterization Chittenden compact spaces compactification completely regular space concept condition constructed contains continuous functions continuous mappings continuum convergence decomposition defined definition dense descriptive set theory domain écart embedded ensembles equivalent espaces Euclidean Euclidean spaces example exists extension finite fixed point Fréchet French Fund H-closed space Hausdorff space hereditarily indecomposable Herrlich Hilbert Hilbert cube homeomorphic homogeneous hyperspaces indecomposable continua indecomposable continuum Janiszewski Katétov Knaster Kuratowski locally compact locally connected continua mathematical Mazurkiewicz metric space metrization theorem minimal monotone nearness spaces neighborhood normal notion open covers paracompact paracompact spaces planar plane point set Proc proof properties proved proximity proximity spaces pseudo-arc quasi-metrizable R.H. Bing R.L. Moore reprinted in Selected Riesz semi-metrizable separable sequence Sierpiński simple closed curve structure subcontinua subspace thesis topological spaces topology uniform spaces uniformly continuous University Urysohn