### I. Juhász, L. Soukup, Z. Szentmiklóssy:

##
What makes a space have large weight?

We formulate several conditions
(two of them are necessary and sufficient) which imply that a space
of small character has large weight.
- We construct a ZFC example of a 0-dimensional space
`X` of size `2^omega ` with `w(X)=2^omega` and `chi(X)=nw(X)=omega`,
- we show that CH implies the existence of a 0-dimensional space
`Y`
of size `omega_1` with `w(Y)=nw(Y)=omega_1` and `chi(Y)=R(Y)=omega`,
- we prove that it is consistent that
`2^omega` is as large as you wish
and there is a 0-dimensional space `Z` of size `2^omega` such that
`w(Z)=nw(Z)=2^omega` but `chi(Z)=R(Z^omega)=omega`.

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**appeared in ***
Topology and its Applications * 57 (1994), no 2-3, 271--285.