Some remarks on Star-Menger spaces using box products
نویسندگان
چکیده
This article is a continuation of study star-Menger selection properties in line (Kocinac, 2009, 2015), where we mainly use covers consisting G? sets with certain additional condition. It observed that star-Mengerness equivalent to the fact every such type cover space has countable subcover. We improve this result by considering ?subcovers cardinality less than b? instead ?countable subcovers?, which our primary observation. also show it possible produce non normal spaces using box products and dense subspaces.
منابع مشابه
Some Remarks on Almost Menger Spaces and Weakly Menger Spaces
{V : V ∈ Vn} = X . Clearly, every Menger space is almost Menger and every almost Menger space is weakly Menger, but the converses do not hold (see Examples 2.1 and 2.2). On the study of weakly Menger spaces, almost Menger spaces and Menger spaces, the readers can see the references [2, 3, 4, 5, 6]. Here we investigate the relationships among almost Menger spaces, weakly Menger spaces and Menger...
متن کاملSome Remarks on Configuration Spaces
This paper studies the homotopy type of the configuration spaces Fn(X) by introducing the idea of configuration spaces of maps. For every map f : X → Y , the configuration space Fn(f) is the space of configurations in X that have distinct images in Y . We show that the natural maps Fn(X) ← Fn(f) → Fn(Y ) are homotopy equivalences when f is a proper cell-like map between d-manifolds. We also sho...
متن کاملRemarks on some interpolation spaces
One purpose of this paper is to introduce a new idea of associating microlocal measures to bounded functions of bounded variation, and even to functions in the interpolation space (H(Q)yL (Q))1.7oo, in order to replace and improve some methods from geometric measure theory. Some properties of similar interpolation spaces are reviewed first. I do not remember when I met Enrico MAGENES for the fi...
متن کاملRemarks on Star Countable Discrete Closed Spaces
In this paper, we prove the following statements: (1) There exists a Tychonoff star countable discrete closed, pseudocompact space having a regular-closed subspace which is not star countable. (2) Every separable space can be embedded into an absolutely star countable discrete closed space as a closed subspace. (3) Assuming 20 = 21 , there exists a normal absolutely star countable discrete clos...
متن کاملSome Remarks on Fuzzy N-Normed Spaces
It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is complete.
متن کاملذخیره 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: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2205769c