Simple space

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This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spaces


View other homotopy-invariant properties of topological spaces OR view all properties of topological spaces

Definition

A topological space is termed simple if it satisfies the following three conditions:

Relation with other properties

Stronger properties

Weaker properties

References

Textbook references

  • A Concise Course in Algebraic Topology by J Peter MayFull text PDFMore info, Page 140 (formal definition)
  • Algebraic Topology by Allen HatcherFull text PDFMore info, Page 342 (definition in paragraph): Hatcher uses the term Abelian space locally in the book
  • Algebraic Topology by Edwin H. SpanierMore info, Page 384 (definition in paragraph)