Title of article
Reflection theorems for cardinal functions
Author/Authors
Hodel، نويسنده , , R.E. and Vaughan، نويسنده , , J.E.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2000
Pages
20
From page
47
To page
66
Abstract
This paper is a systematic study of reflection theorems for cardinal functions. There are four sections: theory of reflection; reflection theorems for c, e, s, hd, hL, L, d, and nw; reflection theorems for χ, t, ψ, and psw (assuming compactness); reflection theorems for w, pw, and πw. This last section includes a standard (i.e., without elementary submodels) proof of Dowʹs remarkable theorem that every countably compact space that is not metrizable has a subspace of cardinality at most ω1 that is not metrizable.
Keywords
COMPACT , Initially ?-compact , Point-weight , Metrizable , Cardinal and ordinal numbers , Weight , cardinal function , reflection
Journal title
Topology and its Applications
Serial Year
2000
Journal title
Topology and its Applications
Record number
1579514
Link To Document