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Universal marked spaces
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PRE
AI
DOI：10.1016/j.topol.2025.109248.png)
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Abstract
En 中文
The universality problem is based on the search of finding universal elements in categories of objects, where the notion of embedding of an object to an other can be defined. Many classes of topological spaces have been studied in the view of this problem. In this paper, we continue this investigation. We construct universal marked spaces for different classes of spaces and give positive answers to this universality problem in such classes, verifying the existence of universal elements. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Marked space
Universal marked space
Containing space
Saturated class of spaces
Regular space
Completely regular space
(Strongly) countable dimensional
space
Small inductive dimension
Journal
T
IF:
0.5
Papers:
196
Citations:
0
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