# Cellular space

From Encyclopedia of Mathematics

A Hausdorff space provided with the structure of a CW-complex. For example, every simplicial space is a cellular space. Conversely, there exists for any cellular space a simplicial space of the same dimension that is homotopically equivalent to it.

#### References

[1] | V.A. Rokhlin, D.B. Fuks, "Beginner's course in topology. Geometric chapters" , Springer (1984) (Translated from Russian) |

#### Comments

#### References

[a1] | K. Jänich, "Topology" , Springer (1984) pp. Chapt. VII (Translated from German) |

**How to Cite This Entry:**

Cellular space. S.N. Malygin (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Cellular_space&oldid=19053

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098