3,345 research outputs found
On set star-Lindelöf spaces
[EN] A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆ SU, there
is a countable subset V of U such that A ⊆ St(SV, U). The class of set star-Lindelöf spaces lie between the class of Lindel¨of spaces and the class of star-Lindelöf spaces. In this paper, we investigate the relationship between set star-Lindelöf spaces and other related spaces by providing some suitable examples and study the topological properties of set starLindelöf spaces.Singh, S. (2022). On set star-Lindelöf spaces. Applied General Topology. 23(2):315-323. https://doi.org/10.4995/agt.2022.1702131532323
Data-centric framework for digital twin development of an aircraft system
Poster presented at Cranfield University’s 2019 Manufacturing Doctoral Community event.Airbu
Remarks on monotonically star compact spaces
summary:A space is said to be monotonically star compact if one assigns to each open cover a subspace , called a kernel, such that is a compact subset of and , and if refines then , where . We prove the following statements: \item {(1)} The inverse image of a monotonically star compact space under the open perfect map is monotonically star compact. \item {(2)} The product of a monotonically star compact space and a compact space is monotonically star compact. \item {(3)} If is monotonically star compact space with , then is monotonically star compact, where is the Alexandorff duplicate of space . \endgraf The above statement (2) gives an answer to the question of Song (2015)
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