Reflection theorems for cardinal functions
Publication
, Journal Article
Hodel, RE; Vaughan, JE
Published in: Topology and Its Applications
January 1, 2000
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 π w. This last section includes a standard (i.e., without elementary submodels) proof of Dow's remarkable theorem that every countably compact space that is not metrizable has a subspace of cardinality at most ω
Published In
Topology and Its Applications
DOI
ISSN
0016-660X
Publication Date
January 1, 2000
Volume
100
Issue
1
Start / End Page
47 / 66
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0199 Other Mathematical Sciences
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Hodel, R. E., & Vaughan, J. E. (2000). Reflection theorems for cardinal functions. Topology and Its Applications, 100(1), 47–66. https://doi.org/10.1016/s0166-8641(99)00056-5
Hodel, R. E., and J. E. Vaughan. “Reflection theorems for cardinal functions.” Topology and Its Applications 100, no. 1 (January 1, 2000): 47–66. https://doi.org/10.1016/s0166-8641(99)00056-5.
Hodel RE, Vaughan JE. Reflection theorems for cardinal functions. Topology and Its Applications. 2000 Jan 1;100(1):47–66.
Hodel, R. E., and J. E. Vaughan. “Reflection theorems for cardinal functions.” Topology and Its Applications, vol. 100, no. 1, Jan. 2000, pp. 47–66. Scopus, doi:10.1016/s0166-8641(99)00056-5.
Hodel RE, Vaughan JE. Reflection theorems for cardinal functions. Topology and Its Applications. 2000 Jan 1;100(1):47–66.
Published In
Topology and Its Applications
DOI
ISSN
0016-660X
Publication Date
January 1, 2000
Volume
100
Issue
1
Start / End Page
47 / 66
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0199 Other Mathematical Sciences
- 0101 Pure Mathematics