Some non-multiplicative properties are $l$-invariant
Tkachuk, Vladimir Vladimirovich
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 169-175 / Harvested from Czech Digital Mathematics Library
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A cardinal function $\varphi$ (or a property $\Cal P$) is called $l$-invariant if for any Tychonoff spaces $X$ and $Y$ with $C_p(X)$ and $C_p(Y)$ linearly homeomorphic we have $\varphi(X)=\varphi(Y)$ (or the space $X$ has $\Cal P$ ($\equiv X\vdash {\Cal P}$) iff $Y\vdash\Cal P$). We prove that the hereditary Lindelöf number is $l$-invariant as well as that there are models of $ZFC$ in which hereditary separability is $l$-invariant.

Publié le : 1997-01-01
Classification:  54A25,  54A35,  54C35 
@article{118913,
     author = {Vladimir Vladimirovich Tkachuk},
     title = {Some non-multiplicative properties are $l$-invariant},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {169-175},
     zbl = {0886.54005},
     mrnumber = {1455481},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118913}
}

Tkachuk, Vladimir Vladimirovich. Some non-multiplicative properties are $l$-invariant. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 169-175. http://gdmltest.u-ga.fr/item/118913/

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