On star compactifications

Lorenzo Acosta; I. Marcela Rubio

doi:10.4995/agt.2013.1613

Authors

Lorenzo Acosta Universidad Nacional de Colombia
I. Marcela Rubio Universidad Nacional de Colombia

DOI:

https://doi.org/10.4995/agt.2013.1613

Keywords:

Star compactifications, Quotient spaces, Ordered structure

Abstract

We study the ordered structure of the collection of star compactifications by n points and the behavior of these compactifications through quotients obtained by identification of additional points.

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Author Biographies

Lorenzo Acosta, Universidad Nacional de Colombia

Facultad de Ciencias, Departamento de Matemáticas, Carrera 30 No. 45-03, Bogotá, Colombia.

I. Marcela Rubio, Universidad Nacional de Colombia

Facultad de Ciencias, Departamento de Matemáticas, Carrera 30 No. 45-03, Bogotá, Colombia.

References

J. Blankespoor and J. Krueger, Compactifications of topological spaces, Electronic Journal of Undergraduate Mathematics, Furman University. 2 (1996), 1–5.

N. Bourbaki, Elements of mathematics, General topology, Addison-Wesley, France, 1968.

K. D. Magill Jr., N-point compactifications, Amer. Math. Monthly. 72 (1965), 1075-1081. http://dx.doi.org/10.2307/2315952

J. Margalef et al. Topología, vol. 3. Alhambra, Madrid, 1980.

J. R. Munkres, Topology. A first course, Prentice-Hall, New Jersey, 1975.

M. Murdeshwar, General topology, John Wiley and Sons, New York, 1983.

T. Nakassis and S. Papastavridis, On compactifying a topological space, by adding a finite number of points, Bull. Soc. Math., Grece. 17 (1976), 59-65.

C. Ruíz and L. Blanco, Acerca del compactificado de Alexandroff, Bol. Mat. (3) 20 (1986), 163-171.

S. Willard, General Topology, Addison-Wesley, Publishing Company, 1970.