Abstract
Local conectedness and local path-connectedness of infinite point compactifications of locally compact spaces are established under assumptions on the limit points of the compactifying sets.
References
D. Baboolal, On local connectedness, Math. Japonicae 37 (1992), 865-869.
D. Baboolal, Locally connected compactifications, pre-print, to appear in Topology and its Applications.
N. Bourbaki, Topologie Generale, Chap. I, II, 3ème edition, Hermann, Paris, 1961.
J. A. Charris y M. P. Dussán, Arco-conexión local en las compactificaciones de Alexandroff, Revista Integración, Vol. 12 No 2 (1994), 17-26.
J. A. Charris y M. P. Dussán, Arco-conexión local en las compactaciones por finitos puntos, Boletín de Matemáticas, Nueva Serie, Vol 1 No 2 (1994), 17-33.
J. Dugundji, Topology, Allyn and Bacon, Boston, Mass., 1969.
J. de Groot and R. H. McDowell, Locally connected spaces and their compactifications, Illinois J. Math. 11 (1967), 353-364.
M. Henriksen and J. R. Isbell, Local connectedness and Stone-Čech compactifications, Illinois J. Math. 1 (1957), 574-582.
J. G. Hocking and G. S. Young, Topology, Addison-Wesley, Reading, Mass., 1961.
N. Kemoto, On the local connectedness of βX, Bull. Soc. Roy. Sci. Liège 50 (1981), 185-194.
L. Lavalle, The one point countable compactifications of curve spaces and arc-spaces, Portugaliae Mathematica 24 (1965), 105-114.
K. D. Magill, Jr., N-point compactifications, Amer. Math. Monthly 72 (1965), 1075-1081.
J. Margalef, E. Outerelo y J. L. Pinilla, Topología, Vol. III, Alhambra, Madrid, 1980.
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