Power homogeneous compacta and variations on tightness

Nathan Carlson

The weak tightness $wt(X)$, introduced in [6], has the property $wt(X)\le t(X)$. It was shown in [4] that if $X$ is a homogeneous compactum then $|X|\le 2^{wt(X)\pi \chi (X)}$. We intro…