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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.00301 |
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Table of Contents:
- Suppose $Σ$ is a topological space and $S(Σ)$ is the vector lattice of all equivalent classes of continuous real-valued functions defined on open dense subsets of $Σ$. In this paper, we establish some lattice and topological aspects of $S(Σ)$. In particular, as an application, we show that the unbounded order convergence and the order convergence are stable under passing to the Fremlin tensor product of two Archimedean vector lattices.