Abstract
We study the relationship between the product and other basic operations (namely σ, π, α and β) of generalized topologies. Also we discuss the connectedness, generalized connectedness and compactness of products of generalized topologies. It is proved that the connectedness and compactness are preserved under the product of generalized topologies, which shows that the definition of product of generalized topologies is quite reasonable.
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Supported in part by the NSFC (No. 10571151).
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Shen, R. Remarks on products of generalized topologies. Acta Math Hung 124, 363–369 (2009). https://doi.org/10.1007/s10474-009-8207-x
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DOI: https://doi.org/10.1007/s10474-009-8207-x