Mathematics of Frank Siwiec

Publications of Frank Siwiec

1. "A note on nets and metrization", Proceedings of the Japanese Academy of Sciences 44 (1968), 623-627. Coauthor: Dr. Jun-iti Nagatai [My doctoral advisor].
2. "Relations among certain mappings and conditions for their equivalence", General Topology and its Applications 1 (1971), 33-41. Coauthor: Dr. Vincent Mancuso [Office-mate at St. John's University].
3. "Sequence-covering and countably bi-quotient mappings", General Topology and its Applications 1 (1971), 143-154.
4. "On the theorem of Morita and Hanai, and Stone", Proceedings of the Second Pittsburgh International Conference of General Topology and its Applications. Lecture Notes in Mathematics #378, Springer Verlag (1974), 449-454.
5. "On defining a space by a weak base", Pacific Journal of Mathematics 52 (1974), 233-245.
6. "Generalizations of the first axiom of countability", Rocky Mountain Journal of Mathematics 5 (1975), 1-60.
7. "Countable spaces having exactly one nonisolated point. I", Proceedings of the American Mathematical Society 57 (1976), 345-350. [A mathematical journal of significant mathematics.]
8. "A note on identifications of metric spaces", Proceedings of the American Mathematical Society 57 (1976), 340-344.
9. "Subspaces of non-first-countable spaces", The American Mathematical Monthly 83 (1976), 554-556. [A mathematical journal for anyone in mathematics.]
10. "A-spaces and countably bi-quotient maps", Dissertationes Mathematicae (Rozprawy Matematyczne) #133 (1976), 1-43. Coauthors: Dr. Ernest Michael and Dr. R. C. Olson. [I was proud to have a publication with Dr. Ernest Michael.]
11. "Sequentially quotient mappings", Czechoslovak Mathematical Journal 26 (101) (1976), 174-182. Coauthor: Dr. James Boone.
12. "Open continuous functions from the reals to the reals", Rendiconti di Matematica 9 (3) Serie VI (1976), 477-480.

1972 doctoral disseration from the University of Pittsburgh under Dr. Jun-iti Nagata: A Study of Spaces and Mappings, including M-spaces, σ-spaces, quotient-mappings, and A-covering mappings.

American Mathematical Monthly Problems and Solutions

• My proposed problems:
  • E 2614. October 1976.
• Solutions by others of my proposed problems:
  • Elementary problem: "Point-Inverses with Compact Boundaries", December 1974, E 2449.
  • Elementary problem: "Union of an Open and a Compact Set", January 1978, E 2614.
• "Also solved by" Frank:
  • Elementary problem E 1764 proposed by Michael Gemignani "A Consequence of E 1592", April 1966.
  • Elementary problem E 1852, August 1967.
  • Advanced problem 5396 proposed by Albert Wilanksy "Metrizable topologies on a Hausdorff Space", October 1967.
  • Advanced problem 5444 proposed by T. S. Frank "The Intersection of Compact Sets in a T₁ Space", December 1967.
  • Advanced problem 5449 proposed by G. R. Sell "Uniform Continuity on a Product Space", December 1967.
  • Advanced problem 5453 proposed by .R. S. Doran "A Noncompact space", January 1968.
  • Advanced problem 5483 proposed by W. O. Egerland "The Derivative of a Function in the Neighborhood of a Zero", April 1968.
  • Elementary problem E 1947 proposed by Underwood Dudley "A Functional Equation", April 1968.
  • Elementary problem E 1979 proposed by R. T. Hood "Professor Umbugio Wrong Again", September 1968.
  • Elementary problem E 2490 October 1975.
  • Advanced problem 5962 proposed by Lee Erlebach "A Separable Hausdorff Space not σ-compact", November 1975.
  • Advanced problem 6014 proposed by Clark H. Kimberling "Uncountable Sets with All Closed Subsets Countable", November 1976.
  • Elementary problem E 3077 proposed by Nicholas Passell "Continuous Functions are Constant", February 1988.
  • Elementary problem E 3410 proposed by Peter Freyd "The Period of Fibonacci Sequences Modulo m", March 1992, with my comment.

A recent publication in which Frank is mentioned or referred to