A monomorphism theorem for the inverse limit of nested retracts

Abstract

Various characterizations are offered of injectivity of the canonical fundamental group homomorphism for a certain class of inverse limit spaces. One application characterizes the existence of a kind of generalized universal cover.

10 pages; improves and expands previous version

References in corpus (5)

• The fundamental group of the harmonic archipelago
• The topological Hawaiian earring group does not embed in the inverse limit of free groups
• Topological fundamental groups can distinguish spaces with isomorphic homotopy groups
• The Hawaiian earring group is topologically incomplete
• A characterization of spaces with discrete topological fundamental group

Cited by in corpus (3)

• Topological fundamental groups can distinguish spaces with isomorphic homotopy groups
• The Hawaiian earring group is topologically incomplete
• The Hawaiian earring group and metrizability