on tychonoff's type theorem via grills
نویسندگان
چکیده
let ${x_{alpha}:alphainlambda}$ be a collection of topological spaces, and $mathcal {g}_{alpha}$ be a grill on $x_{alpha}$ for each $alphainlambda$. we consider tychonoffrq{}s type theorem for $x=prod_{alphainlambda}x_{alpha}$ via the above grills and a natural grill on $x$ related to these grills, and present a simple proof to this theorem. this immediately yields the classical theorem of tychonoff. we shall also observe> that the above result is also equivalent to the axiom of choice.
منابع مشابه
On Tychonoff's type theorem via grills
Let ${X_{alpha}:alphainLambda}$ be a collection of topological spaces, and $mathcal {G}_{alpha}$ be a grill on $X_{alpha}$ for each $alphainLambda$. We consider Tychonoffrq{}s type Theorem for $X=prod_{alphainLambda}X_{alpha}$ via the above grills and a natural grill on $X$ related to these grills, and present a simple proof to this theorem. This immediately yields the classical theorem...
متن کاملon tychonoff's type theorem via grills
let ${x_{alpha}:alphainlambda}$ be a collection of topological spaces, and $mathcal {g}_{alpha}$ be a grill on $x_{alpha}$ for each $alphainlambda$. we consider tychonoffrq{}s type theorem for $x=prod_{alphainlambda}x_{alpha}$ via the above grills and a natural grill on $x$ related to these grills, and present a simple proof to this theorem. this immediately yields the classical theorem...
متن کاملSome topological operators via grills
In this paper, we define and study two operators $Phi^s$ and $Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $tau^s$ induced from operators $Phi^s$ and $Psi^s$.
متن کاملsome topological operators via grills
in this paper, we de ne and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology s induced from operatorss and s.
متن کاملA New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions
In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...
متن کاملBishop-Phelps type Theorem for Normed Cones
In this paper the notion of support points of convex sets in normed cones is introduced and it is shown that in a continuous normed cone, under the appropriate conditions, the set of support points of a bounded Scott-closed convex set is nonempty. We also present a Bishop-Phelps type Theorem for normed cones.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۱، صفحات ۳۷-۴۱
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023