Upper neighbours of Čech closure operators
Abstract Here, we investigate the existence of upper neighbours in the lattice of $$T_{1}$$ T1 Čech closure operators on a fixed set. In this paper, we prove that a first countable $$T_{1}$$ T1 closure operator has no upper neighbour in the lattice of Čech closure operators.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s40065-018-0208-6 |