Difference between revisions of "Cellular space"
From Encyclopedia of Mathematics
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| − | A Hausdorff space provided with the structure of a [[ | + | 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. |
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| − | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> | + | <table> |
| − | + | <TR><TD valign="top">[1]</TD> <TD valign="top"> V.A. Rokhlin, D.B. Fuks, "Beginner's course in topology. Geometric chapters", Springer (1984) (Translated from Russian)</TD></TR> | |
| − | + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> K. Jänich, "Topology", Springer (1984) pp. Chapt. VII (Translated from German)</TD></TR> | |
| − | + | </table> | |
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Latest revision as of 14:50, 16 April 2023
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) |
| [a1] | K. Jänich, "Topology", Springer (1984) pp. Chapt. VII (Translated from German) |
How to Cite This Entry:
Cellular space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cellular_space&oldid=19053
Cellular space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cellular_space&oldid=19053
This article was adapted from an original article by S.N. Malygin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article