1997Communications of the Korean Mathematical SocietyRequires access

Generalizations of limit theorems by A. V. Skorokhod

Sung Ki Park

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Abstract

In order to study the limits of sequences appearing in, for example, stochastic process, A.V. Skorokhod has defined new function space topologies. We compare these topologies with the topology of compact convergence, the topology of pointwise convergence and others.

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What this paper is about

In order to study the limits of sequences appearing in, for example, stochastic process, A.V. Skorokhod has defined new function space topologies. We compare these topologies with the topology of compact convergence, the topology of pointwise convergence and others.

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Available abstract

In order to study the limits of sequences appearing in, for example, stochastic process, A.V. Skorokhod has defined new function space topologies. We compare these topologies with the topology of compact convergence, the topology of pointwise convergence and others.

Key concepts: Mathematics, Pointwise convergence, Network topology, Topology (electrical circuits), Convergence (economics), Pointwise, Limit (mathematics), Weak convergence

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