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On character of points in the Higson corona of a metric space
Higson corona character of a point ultrafilter number dominating number
2012/6/19
We prove that for an unbounded metric space $X$, the minimal character $m\chi(\check X)$ of a point of the Higson corona $\check X$ of $X$ is equal to $\mathfrak u$ if $X$ has asymptotically isolated ...
Character algebras of decorated SL_2(C)-local systems
Character algebras decorated SL_2(C)-local systems Geometric Topology
2011/9/13
Abstract: Let S be a path-connected, locally-compact CW-complex, and let M be a subcomplex with finitely-many components. A `decorated SL_2(C)-local system' is an SL_2(C)-local system on S, together w...
On meager function spaces, network character and meager convergence in topological spaces
network character meager convergent sequence meager filter meager space
2011/1/20
For a non-isolated point x of a topological space X let nw(x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x) X of x contains a set N 2 N.