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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"semiglobally simply connected"" "subject:"semilocal simply connected""

1

On Continuity of Multiplication in the Fundamental Group

Steadman, Eric 01 August 2022 (has links)
For a topological space X, the fundamental group can be topologized as a quotient of the path space with the compact-open topology. For one-dimensional or planar Peano continua, the fundamental group with this topology is a topological group if and only if it is semilocally simply connected. In particular, we demonstrate that the group operation is not continuous in this setting.
topological group
fundamental group
semilocally simply connected
Peano
planar
one-dimensional
Physical Sciences and Mathematics

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