Abstract
In this paper we discuss the structure of regular spaces hereditarily of κ-type and point κ-type. In particular, it is shown that a regular spaceX is hereditarily of point κ-type iff for everyp∈X there is a setE (possibly empty) of isolated points ofX such that (1)E∪{p} is compact and (2)X(E∪{p}, X)≤κ.
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Grabner, G., Szymanski, A. Spaces hereditarily of κ-type and point κ-type. Rend. Circ. Mat. Palermo 42, 382–390 (1993). https://doi.org/10.1007/BF02844629
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DOI: https://doi.org/10.1007/BF02844629