First countability and local simple connectivity of one point unions

Katsuya Eda

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

Original languageEnglish
Pages (from-to)237-241
Number of pages5
JournalProceedings of the American Mathematical Society
Volume109
Issue number1
DOIs
Publication statusPublished - 1990
Externally publishedYes

Keywords

  • First countable
  • Fundamental group
  • Locally simply connected
  • One point union

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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