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.
|||V.A. Rokhlin, D.B. Fuks, "Beginner's course in topology. Geometric chapters" , Springer (1984) (Translated from Russian)|
|[a1]||K. Jänich, "Topology" , Springer (1984) pp. Chapt. VII (Translated from German)|
Cellular space. S.N. Malygin (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cellular_space&oldid=19053