Baire Category Soft Sets and Their Symmetric Local Properties

نویسندگان

چکیده

In this paper, we study soft sets of the first and second Baire categories. The category are examined to be small from point view topology, while large. family in a topological space forms σ-ideal. This contributes development theory ideal topology. main properties these classes discussed. concepts points where or introduced. These types subclasses non-cluster cluster sets. Then, various results on obtained. Among others, set all at which is regular closed. Moreover, show that there symmetry between each its category. equivalent saying union any collection open again last assertion can regarded as generalized version one fundamental theorems topology known Banach Category Theorem. Furthermore, it shown represented disjoint two sets, other not points.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Baire Category for Monotone Sets

We study Baire category for downward-closed subsets of 2ω , showing that it behaves better in this context than for general subsets of 2ω . We show that, in the downward-closed context, the ideal of meager sets is prime and b-complete, while the complementary filter is g-complete. We also discuss other cardinal characteristics of this ideal and this filter, and we show that analogous results fo...

متن کامل

The symmetric monoidal closed category of cpo $M$-sets

In this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed.

متن کامل

Multi-aspect Fuzzy Soft Sets and their Properties

In this paper, the concept of multi-aspect fuzzy soft sets is proposed. This concept is an extension of the ordinary concept of fuzzy soft sets. Basic operations like union, intersection and complement are presented, and some important properties are studied. Numerical examples are used to further elucidate some of the operations and properties.

متن کامل

On the Baire Category Theorem

Let T be a topological structure and let A be a subset of the carrier of T . Then IntA is a subset of T . Let T be a topological structure and let P be a subset of the carrier of T . Let us observe that P is closed if and only if: (Def. 1) −P is open. Let T be a non empty topological space and let F be a family of subsets of T . We say that F is dense if and only if: (Def. 2) For every subset X...

متن کامل

Some Local Properties of Soft Semi-Open Sets

Soft set theory [1] was firstly introduced byMolodtsov in 1999 as a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. He has shown several applications of this theory in solvingmany practical problems in economics, engineering, social science, medical science, and so forth, in [1]. In the recent years, papers about soft sets theory and their applications ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Symmetry

سال: 2023

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym15101810