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Cellular space

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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