نتایج جستجو برای: $g_delta$
تعداد نتایج: 6 فیلتر نتایج به سال:
فضای توپولوژیک $ x $ یک فضای $g _{delta} $-بلمبرگ نامیده می شود اگر برای هر تابع حقیقی مقدار $ f $ از $ x $ یک $g_{delta} $-مجموعه چگال در $ x $ مانند $ d $ وجود داشته باشد به طوری که تحدید $ f $ به $ d $ پیوسته باشد. در این پایان نامه این فضا تحت زیر فضا ها و ابر فضا ها، تصویر ها و تصویر معکوس ها بررسی می شوند و یک فضای $ g_{delta}$-بلمبرگ که تعمیمی از تقریباً $ p $-فض...
In Proposition 2.6 in (G. Gruenhage, A. Lutzer, Baire and Volterra spaces, textit{Proc. Amer. Math. Soc.} {128} (2000), no. 10, 3115--3124) a condition that every point of $D$ is $G_delta$ in $X$ was overlooked. So we proved some conditions by which a Baire space is equivalent to a Volterra space. In this note we show that if $X$ is a monotonically normal $T_1...
in proposition 2.6 in (g. gruenhage, a. lutzer, baire and volterra spaces, textit{proc. amer. math. soc.} {128} (2000), no. 10, 3115--3124) a condition that every point of $d$ is $g_delta$ in $x$ was overlooked. so we proved some conditions by which a baire space is equivalent to a volterra space. in this note we show that if $x$ is a monotonically normal $t_1$...
in this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $c(x)$ and the same of $c(y)$, for some special subset $y$ of $x$. for instance, if $y=coz(f)$ for some $fin c(x)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $c(y)$ and the set of prime $z$-ideals of $c(x)$ not containing $f$. moreover, c...
In this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $C(X)$ and the same of $C(Y)$, for some special subset $Y$ of $X$. For instance, if $Y=Coz(f)$ for some $fin C(X)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $C(Y)$ and the set of prime $z$-ideals of $C(X)$ not containing $f$. Moreover, c...
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