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A right-continuous function is a function that is continuous only when approaching from the right or from a value larger than the limiting value i.e. only exists.
A Summary of MATH 891
Lebesgue-Stieltjes Measure
Existence of Sequences of Independent rvs
(Cumulative) Distribution Function
(Λ) Set of Predictable Locally Integrable Processes
Doléans Measure
Itô Isometry
Itô Stochastic Integral
Itô Isometry v2
Itô Isometry v3
Itô Stochastic Integral on Λ is a R.C. Martingale
Left Continuous Adapted = Predictable
Stopping Time Integral
Càdlàg
Filtration
Doob's Optional Sampling Theorem
Martingale Equivalence for Stopping Times
Stopped Process is also R.C. Martingale
Random Time