Difference between revisions of "Simple space"

From Topospaces
Jump to: navigation, search
m (8 revisions)
(3 intermediate revisions by the same user not shown)
Line 20: Line 20:
* [[Space with Abelian fundamental group]]
* [[Space with Abelian fundamental group]]
* [[Path-connected space]]
* [[Path-connected space]]
===Textbook references===
* {{booklink|Concise}}, Page 140 (formal definition)
* {{booklink|Hatcher}}, Page 342 (definition in paragraph): Hatcher uses the term '''Abelian space''' locally in the book
* {{booklink|Spanier}}, Page 384 (definition in paragraph)

Latest revision as of 19:58, 11 May 2008

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


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

Relation with other properties

Stronger properties

Weaker properties


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)