Strict density topology of the plane. Category case
Abstract
We study the properties of category density topology of the plane generated
by a restricted convergence in the category of double sequences of characteristic
functions
{Â((n,m)·(A−(x0,y0)))\([−1,1]×[−1,1])}n,m2N
and more interesting topology generated by a strict convergence in the category of the
same sequences, which is a natural modification of a previous one. Similar problems
for measure density were considered in [FW].
by a restricted convergence in the category of double sequences of characteristic
functions
{Â((n,m)·(A−(x0,y0)))\([−1,1]×[−1,1])}n,m2N
and more interesting topology generated by a strict convergence in the category of the
same sequences, which is a natural modification of a previous one. Similar problems
for measure density were considered in [FW].
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PDFDOI: https://doi.org/10.2478/tatra.v46i0.76