Results 31 to 40 of about 244,971 (312)

The Rice-Shapiro theorem in Computable Topology

, 2017
We provide requirements on effectively enumerable topological spaces which guarantee that the Rice-Shapiro theorem holds for the computable elements of these spaces.
Korovina, Margarita, Kudinov, Oleg
core   +1 more source

Taxonomies of Model-theoretically Defined Topological Properties [PDF]

, 1990
A topological classification scheme consists of two ingredients: (1) an abstract class K of topological spaces; and (2) a taxonomy , i.e. a list of first order sentences, together with a way of assigning an abstract class of spaces to each sentence of ...
Bankston, Bankston, Bankston, Bankston, Chang, Gurevič, Heinrich, Henson, Johnstone, Kuratowski, Moore, Paul Bankston, Willard, Ziegler   +13 more
core   +3 more sources

Strictly convex norms and topology

, 2010
We introduce a new topological property called (*) and the corresponding class of topological spaces, which includes spaces with $G_\delta$-diagonals and Gruenhage spaces.
Orihuela, José, Smith, Richard J., Troyanski, Stanimir   +2 more
core   +1 more source

Generalized soft multi connectedness and compactness

Ratio Mathematica
The significance of connectedness and compactness plays a vital role in studying the properties of topological spaces. Numerous authors explored several characterizations of topological spaces using these notions.
A. Gnanasoundari, V. Inthumathi, M. Maheswari   +2 more
doaj   +1 more source

Nearly Soft Menger Spaces

Journal of Mathematics, 2020
In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces ...
Tareq M. Al-shami, Ljubiša D. R. Kočinac   +1 more
doaj   +1 more source

On the $C_k$-stable closure of the class of (separable) metrizable spaces

, 2015
Denote by $\mathbf C_k[\mathfrak M]$ the $C_k$-stable closure of the class $\mathfrak M$ of all metrizable spaces, i.e., $\mathbf C_k[\mathfrak M]$ is the smallest class of topological spaces that contains $\mathfrak M$ and is closed under taking ...
Banakh, Taras, Gabriyelyan, Saak
core   +1 more source

N-Closure and N-Interior in Neutrosophic Topological Spaces

Neutrosophic Sets and Systems
Topology greatly benefits from the concept of δ-cloure. Its quiet nature to extended its proper-ties in other topological spaces. So, with the concept of quasi-coincidence Ganguly and Saha pioneered and extensively examined the notion of δ-closure ...
K. Damodharan, M. Vigneshwaran
doaj   +1 more source

On cofree S-spaces and cofree S-flows

Applied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

SOME KINDS OF SEPARATION AXIOMS ON APPROXIMATION SPACES

Wasit Journal for Pure Sciences
This paper investigates topological features of rough sets and deals with approximation spaces through topological approaches.The traditional separation axioms for topological spaces are extended to approximation spaces.
hisham jasim
doaj   +1 more source

Soft Topological Transformation Groups

Mathematics, 2020
The aim of the present study is to introduce the concept of soft topological transformation groups by examining the topological transformation groups, which are the core subject of algebraic topology under the soft approach.
Gulay Oguz
doaj   +1 more source