Cardinal invariants for 𝐶-cross topologies


Abstract


𝐶-cross topologies are introduced. Modifications of the Kuratowski-Ulam Theorem are considered. Cardinal invariants add, cof, cov and non with respect to meager or nowhere dense subsets are compared. Remarks on invariants cof (nwdy) are mentioned for dense subspaces Y⊆X

DOI Code: 10.1285/i15900932v27supn1p97

Keywords: $mathcal{C}$-cross topology; Cardinal invariant; Meager set; Nowhere dense set

Classification: 54A10; 03E17; 54E52

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