Remainders of locally ƒ\v{C}ech-complete spaces and homogeneity

Authors : A.v. ARHANGEL`SKİİ

Pages : 1-8

View : 14 | Download : 6

Publication Date : 2017-02-01

Article Type : Research Paper

Abstract :We study remainders of locally ƒƒ\v{C}ech-complete spaces. In particular, it is established that if $X$ is a locally ƒ\v{C}ƒech-complete non-ƒ\v{C}ƒech-complete space, then no remainder of $X$ is homogeneous insert ignore into journalissuearticles values(Theorem 3.1);. We also show that if $Y$ is a remainder of a locally ƒƒ\v{C}ech-complete space $X$, and every $y\in Y$ is a $G_\delta$-point in $Y$, then the cardinality of $Y$ doesn`t exceed $2^\omega$. Several other results are obtained.
Keywords : Remainder, Compactification, G \delta point, Homogeneous, Point countable base, Lindel\` o f \Sigma space, Charming space, Countable type, \v C ech complete