Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiopen and p-path open sets, and characterizations of quasicontinuity   In this paper we give various characterizations of quasiopen sets and
quasicontinuous functions on metric spaces. For complete metric spaces equipped
with a doubling measure supporting a p-Poincar\'e inequality we show that
quasiopen and p-path open sets coincide. Under the same assumptions we show
that all Newton-Sobolev functions on quasiopen sets are quasicontinuous.

4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg