Topology Atlas Document # topd-45

TOPOLOGICAL COMMENTARY

Volume 7, #2, 2002

Edited by Melvin Henriksen

commentary@at.yorku.ca

I continue to invite commentary on any article in any issue of TopCom or on any topic of general interest to topologists, including news about topologists or topological activity.


TABLE OF CONTENTS

  1. Zoltan Balogh Memorial Topology Conference
  2. The Sad News about the Floods in Prague
  3. Some photographs from the International Conference on Topology in Matsue, Japan (June 24 - 28, 2002) by Jerry Vaughan
  4. Partitions of Unity by Jerzy Dydak
  5. Conveying Topological Ideas Visually I
  6. Conveying Topological Ideas Visually II
  7. Can the Mathematics library in Prague be brought back to life?
  8. Topology at Dagstuhl
  9. Biography of John Rainwater by Robert R. Phelps


Zoltan Balogh Memorial Topology Conference

Miami University
Oxford, Ohio
November 15-16, 2002

You are invited to attend and participate in the Balogh Memorial Topology Conference to be held at Miami University in Oxford, Ohio during November 15-16, 2002. All areas of topology or set-theoretic related mathematics will be welcomed.

The opening session will begin about 2:00 pm Friday afternoon on November 15. There will be a welcome reception on Friday night. The conference will continue through Saturday (November 16) and conclude with a dinner on that evening. Since several participants will actually be arriving on Thursday there will be a place to gather on Friday morning with coffee, juice and snacks.

A partial list of invited speakers includes:

More information about speakers and contributed talks will be given soon. Start making your plans. See the links below for some room and travel information and forms for registration, submitting an abstract and contributing a research problem.

Conference WEB-PAGE: http://notCH.mathstat.muohio.edu/balogh_conference

Convenient on-line REGISTRATION is now available. http://notCH.mathstat.muohio.edu/balogh/registration.html

Some ROOM AND TRAVEL INFORMATION can be found at: http://notCH.mathstat.muohio.edu/balogh/rooms_transport.html

ABSTRACTS can be submitted online or by e-mail. http://notCH.mathstat.muohio.edu/balogh/abstracts.html

The deadline for abstracts of contributed papers is October 25, 2002, but it would be helpful if they are submitted a bit earlier.

Contribute a RESEARCH PROBLEM to the conference. Consider doing this even if you can't attend the conference. http://notCH.mathstat.muohio.edu/balogh/problems.html

E-mail and office phone numbers for organizers: Dennis Burke burkedk@muohio.edu 513-529-3508 Sheldon Davis davissw@muohio.edu 513-529-3527

Revised: Sep. 6, 2002


The Sad News about the Floods in Prague

We are all dismayed about about the damage in Prague caused by the recent floods and send our most sincere regrets. Those of us who have visited this beautiful city during any of the topology conferences held since 1961 feel especially sad. Yet we feel sure that these waters cannot drown the many outstanding contributions to topology made by its many outstanding mathematicians! (August 18, 2002)


Some photographs from the International Conference on Topology in Matsue, Japan (June 24 - 28, 2002) by Jerry Vaughan

Matsue, June 2002


Partitions of unity re-visited

With the permission of Professor Jerzy Dydak of the University of Tennessee, we are posting a somewhat novel way of teaching properties of paracompact spaces with the aid of partitions of unity. He hopes that many viewers will find it useful and interesting.
Dear Colleague,

I just finished writing a paper that, I hope, may have an effect on how we teach topology. It is available through the research part of my web site (http://www.math.utk.edu/~dydak/). The title is "Partitions of unity". The pdf version should work for anyone (the ps version may be good only for Macintosh users). Here is the abstract:

The paper contains an exposition of part of topology using partitions of unity. The main idea is to create variants of the Tietze Extension Theorem as the backbone of this approach. New tools include a calculus of partitions of unity and a connection to Ascoli Theorem which explains paracompactness of metrizable spaces and the reason why Tamano's Theorem holds. Another application of our calculus of partitions of unity involves metric simplicial complexes.

Jerzy Dydak

Partitions of unity (pdf file) (ps file)


Conveying Topological Ideas Visually I

We are indebted to Som Naimpally for the url http://www.cpm.informatics.bangor.ac.uk/ in which many ways of conveying topological ideas visually are presented under the auspices of Ronnie Brown's Centre for the Popularisation of Mathematics. Interested parties may also order a CD on which other activities of the Centre are described.


Conveying Topological Ideas Visually II

The Mathematics of Origami - The Japanese art of paper folding

Origami is used often to illustrate geometric and topological concepts. We are indebted to Scott Williams for supplying us with the url: http://web.merrimack.edu/~thull/OrigamiMath.html This site was created by Tom Hull and gives a large number of links to the mathematics of this popular and useful art. The next time you are asked about topology or geometry by someone who thinks nothing new has developed in this area beyond Euclid's Elements, you could try referring them to this web site.


Can the Mathematics library in Prague be brought back to life?

In what follows Krystyna Kuperberg chronicles the destruction of the mathematics library of Charles University in Prague as well as some of the efforts and appeals to try to restore it. This is a tragic loss to mathematicians of any stripe, but to those who work in topology, the depth of the loss in unmeasurable. We should all do something to help!

Dear Mel,

I am glad that you mentioned the floods in Prague on the Topology Atlas Topological Commentary. Although I lived in Poland, I never visited Prague until the summer of 2001. I attended a small conference in July, but could not stay for the big topology conference. Indeed, Prague is a beautiful city and fortunately the old town square was not damaged. The sad news for the mathematicians is that the Charles University math library has been devastated by the floods. The library was located in Karlin, the hardest hit area of Prague. See their web pages at http://www.mff.cuni.cz/povoden

Almost all math journals and books were destroyed and the library is asking for book donations, which should be sent to a temporary storage place.

Library
Faculty of Mathematics and Physics
Ke Karlovu 3
Praha 2, 121 16
Czech Republic

"(this is an undamaged building which provisionally houses the library). It would also be very helpful if it could be accompanied by a letter stating that it is a gift to help the library of the school (for duty/tax purposes)."

My guess is that they do not need just any junk books like "office-glutting old calculus books", but any good math or physics book will be appreciated. The library posted the list of lost books and journals at the above web site. They need money as well. The American Mathematical Society will help by donating back issues of the AMS journals and provide some help with book donations. Elsevier will donate the back issues of Topology and its Applications that they have in stock. Topology Proceedings will do the same.

Best wishes,
Krystyna

Received Septemnber 12, 2002


Topology at Dagstuhl

This announcement was prepared with assistance from Bruce Burdick and is posted with permission from conference authorities at Dagstuhl.

A meeting entitled Mathematical Structures for Computable Topology and Geometry was held in Dagstuhl, Germany May 26-31, 2002 at the Schloss Dagstuhl Internacional Conference and Research Center for Computer Science. The organizers were R. Kopperman (City College of New York, USA), M. B. Smyth (Imperial College, London, GB), and D. Spreen (Univ. Siegen, D).

From the conference website (http://www.dagstuhl.de/02221/):

"Topological notions and methods have successfully been applied in various areas of computer science. Computerized geometrical constructions have many applications in engineering. The seminar will concentrate on mathematical structures underlying both computable topology and geometry."

The organizers then list a number of mathematical topics which were represented by the participants at the seminar. These include digital topology and digital geometry, partiality, domains, locales and formal topology, cell complexes, and oriented matroids.

"It is the aim of the seminar to bring together people working in fields like domain theory, computer science oriented topology and geometry, formal topology,... and to foster interaction between them. Moreover, we want to encourage communication and, hopefully, collaboration between computer scientists and those mathematicians who work on similar problems but from a different perspective and who, often, are not aware of the computer science motivations."

Two group photos of the participants may be found at the url: http://www.dagstuhl.de/02221/Photos/

More information about Dagstuhl seminars may be located at the url: http://www.dagstuhl.de/Seminars/index.en.html

Received Septemnber 12, 2002


Biography of John Rainwater

Looking at MathSciNet for papers under Author Search for John Rainwater will yield a list of 11 papers that appeared between 1959 and 1990 written by a person nobody seems to be able to describe. With help from Som Naimpally and Robert Phelps, readers of Toplological Commentary will learn why.
Biography of John Rainwater by Robert R. Phelps

Received October 21, 2002


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