V: 29, 290-310, LNM 191 (1971)
WALSH, John B.
Some topologies connected with Lebesgue measure (
Markov processes,
General theory of processes,
Potential theory)
It is a recurrent theme in the theory of stochastic processes that time sets of measure $0$ should be ignored. Thus topologies on the line which ignore sets of measure $0$ are useful. The main topic here is the so-called
essential topology, used in the paper of Chung and Walsh
522 in the same volume
Comment: See Doob
Bull. Amer. Math. Soc.,
72, 1966. An important application in given by Walsh
623 in the next volume. See the paper
1025 of Benveniste. For the use of a different topology see Ito
J. Math. Soc. Japan, 20, 1968
Keywords: Essential topologyNature: Original
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