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On subgroups of first homology

Volume 247 / 2019

Samuel M. Corson Fundamenta Mathematicae 247 (2019), 217-228 MSC: Primary 14F35; Secondary 03E15. DOI: 10.4064/fm434-3-2019 Published online: 6 August 2019

Abstract

We prove several new theorems regarding first homology. Some dichotomies for first homology of Peano continua are presented, as well as a notion of strong abelianization for arbitrary path connected metric spaces.

Authors

  • Samuel M. CorsonIkerbasque – Basque Foundation for Science
    and
    Matematika Saila
    UPV/EHU
    Sarriena s/n
    48940 Leioa, Bizkaia, Spain
    e-mail

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