Rendiconti del Circolo Matematico di Palermo

, Volume 42, Issue 3, pp 382–390 | Cite as

Spaces hereditarily of κ-type and point κ-type

  • Gary Grabner
  • Andrzej Szymanski


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.

Ams Subj. Class.

54B05 54D30 54D50 point κ-type κ-type character open dense subspace 


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Copyright information

© Springer 1993

Authors and Affiliations

  • Gary Grabner
    • 1
  • Andrzej Szymanski
    • 1
  1. 1.Department of MathematicsSlippery Rock UniversitySlippery Rock

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