Topological groups: where to from here?

Abstract

This is an account of one man's view of the current perspective of theory of topological groups. We survey some recent developments which are, from our viewpoint, indicative of the future directions, concentrating on actions of topological groups on compacta, embeddings of topological groups, free topological groups, and `massive' groups (such as groups of homeomorphisms of compacta and groups of isometries of various metric spaces).

To appear in Proceedings of the 14-th Summer Topology Conference (NY, Aug. 1999), final version

References in corpus (1)

• On subgroups of minimal topological groups

Cited by in corpus (13)

• On subgroups of minimal topological groups
• Globalization of Confluent Partial Actions on Topological and Metric Spaces
• Fragmentability and representations of flows
• Compactifications of Semigroups and Semigroup Actions
• Topological groups and invariant measures
• Generalized Heisenberg groups and Shtern's question
• On unitary representability of topological groups
• Free non-archimedean topological groups
• On extremely amenable groups of homeomorphisms
• G-continuous functions and whirly actions
• On unitary representations of groups of isometries
• The isometry group of the Urysohn space as a Levy group
• Topological AE(0)-groups