A Guide to the B. J. Ball Papers, 19521984
B. J. Ball (19251996) was a student of R. L. Moore and a professor of
mathematics at the University of Virginia and the University of Georgia. His
primary research interests were continuum theory, general topology, and shape
theory.
This collection consists of reprints of scholarly articles written by
mathematician B. J. Ball (19251996) from 19521984.
Forms part of the Archives of American Mathematics.
Access Restrictions
Unrestricted access.







Subjects 


Ball, B. J. 


Mathematics 
Periodicals. 


Topology. 
B. J. Ball Papers, 19521984 and undated, Archives of American
Mathematics, Dolph Briscoe Center for American History, University of Texas at Austin.
Detailed Description of the Collection















Box 
2.325/C3 

Reprints and publications by B. J. Ball: 



Continuous and equicontinuous collections of arcs.
Duke Mathematical Journal, Vol. 19, No. 3
(September 1952), pp. 423433. 



Some theorems concerning spirals in the plane.
American Journal of Mathematics, Vol. 76, No. 1
(January 1954), pp. 6680. 



Countable paracompactness in linearly ordered spaces.
Proceedings of the American Mathematical Society,
Vol. 5, No. 2 (April 1954), pp. 190192. 



A note on the separability of an ordered space.
Canadian Journal of Mathematics, Vol. 7 (1955),
pp. 458551. 



The normality of the product of two ordered spaces.
Duke Mathematical Journal, Vol. 24 (1957), pp.
1518. 



The sum of two solid horned spheres. Annals of Mathematics, Vol. 69, No. 2 (March 1959), pp.
253257. 



Certain collections of arcs in E3. Proceedings of the American Mathematical Society, Vol.
10, No. 5 (October 1959), pp. 699705. 



Finite collections of 2spheres in E3.
Proceedings of the American Mathematical Society,
Vol. 13, No. 1 (February 1962), pp. 18. 



(With W. R. Alford) Some almost polyhedral wild arcs.
Duke Mathematical Journal, Vol. 30, No. 1 (March
1963), pp. 3338. [two copies] 



Extending real maps defined on a subset of a disk.
Proceedings of the American Mathematical Society,
Vol. 20, No. 1 (January 1969), pp. 7580. 



(With Jo Ford) Spaces of ANR's. Fundamenta Mathematicae, Vol. 77 (1972), pp.
3349. 



(With Jo Ford) Spaces of ANR's. II. Fundamenta Mathematicae, Vol. 78 (1973), pp.
210216. 



Embedding circlelike continua in E3.
Canadian Journal of Mathematics, Vol. 25, No. 4
(1973), pp. 791805. 



A theory of proper shape for locally compact metric
spaces. Bulletin of the American Mathematical
Society, Vol. 79, No. 5 (September 1973), pp. 10231026 



Extending celllike maps on manifolds.
Transactions of the American Mathematical Society,
Vol. 186 (December 1973), pp. 229246. 



Shapes of saturated subsets of compacta.
Colloquium Mathematicum, Vol. 24 (1974), pp.
241246. 



(With R. B. Sher) A theory of proper shape for locally
compact metric spaces. Fundamenta Mathematicae,
Vol. 86 (1974), pp. 164192. 



Alternative approaches to proper shape theory.
Studies in Topology (1975), pp. 127. 



Proper shape retracts. Fundamenta
Mathematicae, Vol. 89 (1975), pp. 177189 



Geometric topology and shape theory: A survey of problems
and results. Bulletin of the American Mathematical
Society, Vol. 82, No. 6 (November 1976), pp. 791804. 



Quasicompactifications and shape theory. Pacific Journal of Mathematics, Vol. 84, No. 2 (1979),
pp. 251259. 



Well Ordered Sequences.
Monographs in Undergraduate Mathematics, Vol. 6. Journal of Undergraduate
Mathematics: Greensboro, North Carolina (1979). 



Shapes of componentcompactifications. Proceedings of the International Conference on Geometric
Topology (1980), pp. 3134. 



(With Shoji Yokura) Compactifications determined by
subsetes of C*(X). Topology and its Applications,
Vol. 12 (1981), pp. 113. 



Partitioning shapeequivalent spaces.
Bulletin de l'Academie Polonaise des Sciences,
Vol. 29, No. 910 (1981), pp. 491497 



(With Shoji Yokura) Functional bases for subsets of C*(X).
Topology Proceedings, Vol. 7 (1982), pp.
115. 



(With Shoji Yokura) Compactifications determined by
subsets of C*(X), II. Topology and its
Applications, Vol. 15 (1983), pp. 16. 



Arcwise connectedness and the persistence of errors.
American Mathematical Monthly, Vol. 91, No. 7
(AugustSeptember 1984), pp. 431433 



Penetration indices and applications. pp. 3739 [Journal
and date unknown] 
