Rigid extensions of $\ell$-groups of continuous functions

@article{Knox2008,
abstract = {Let $C(X,\mathbb \{Z\} )$, $C(X,\mathbb \{Q\} )$ and $C(X)$ denote the $\ell $-groups of integer-valued, rational-valued and real-valued continuous functions on a topological space $X$, respectively. Characterizations are given for the extensions $C(X,\mathbb \{Z\} )\le C(X,\mathbb \{Q\} )\le C(X)$ to be rigid, major, and dense.},
author = {Knox, Michelle L., McGovern, Warren Wm.},
journal = {Czechoslovak Mathematical Journal},
keywords = {rigid extension; major extension; archimedean extension; dense extension; rigid extension; major extension; Archimedean extension; dense extension},
language = {eng},
number = {4},
pages = {993-1014},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Rigid extensions of $\ell $-groups of continuous functions},
url = {http://eudml.org/doc/37881},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Knox, Michelle L.
AU - McGovern, Warren Wm.
TI - Rigid extensions of $\ell $-groups of continuous functions
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 993
EP - 1014
AB - Let $C(X,\mathbb {Z} )$, $C(X,\mathbb {Q} )$ and $C(X)$ denote the $\ell $-groups of integer-valued, rational-valued and real-valued continuous functions on a topological space $X$, respectively. Characterizations are given for the extensions $C(X,\mathbb {Z} )\le C(X,\mathbb {Q} )\le C(X)$ to be rigid, major, and dense.
LA - eng
KW - rigid extension; major extension; archimedean extension; dense extension; rigid extension; major extension; Archimedean extension; dense extension
UR - http://eudml.org/doc/37881
ER -