cell complex

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cell complex

[′sel ‚käm‚pleks]
(mathematics)
A topological space which is the last term of a finite sequence of spaces, each obtained from the previous by sewing on a cell along its boundary.
References in periodicals archive ?
Tenders are invited for maintenance of equipments in cw complex,aux pump house and chemicalhouse area and operation and maintenance of cw stage-i and ii eot cranes ofsstps.
Two main directions for this problem are either when the target space Y is a manifold or Y is a CW complex. In the first direction are the papers of Borsuk [4] (the classical theorem of Borsuk-Ulam, for H = G = [Z.sub.2], X = [S.sup.n] and Y = [R.sup.n]), Conner and Floyd [5] (for H = G = [Z.sub.2], X = [S.sup.n] and Y a n-manifold), Munkholm [13] (for H = G = [Z.sub.p], X = [S.sup.n] and Y = [R.sup.m]), Nakaoka [14] (for H = G = [Z.sub.p], X under certain (co)homological conditions and Y a m-manifold) and the following more general version proved by Volovikov [17] using the index of a free [Z.sub.p]-space X (ind X, see Definition 2.2):
Following [5], we say that a poset P is a CWposet if it is the face poset of a finite regular CW complex; we denote the associated CW complex by [summation](P).
The key ingredient in the proof of Theorem 5.17 is that if B is a CW left regular band, then B acts on the CW complex [summation](B).
Tenders are invited for Maintenance Of Equipments In Cw Complex And Chemical House Area (Stage-I And Ii)
For any homotopy equivalence h : X [right arrow] Y between CW complexes, there is a CW complex Z with homotopy equivalences i : X [right arrow] Z and i' : Y [right arrow] Z such that i ~ h [omicron] i', inducing strictly multiplicative monic homotopy equivalences [i.sub.*] : haut(X) [right arrow] haut(Z) and [i'.sub.*]: haut(Y) [right arrow] haut(Z).
Since we assumed that X, Y, and Z are CW complexes, any homotopy equivalence between them can be made into a pointed homotopy equivalence by choosing appropriate (non-degenerate) base-points (cf.
In the followings, we suppose that spaces have the homotopy type of nilpotent CW complexes when we rationalize them or consider the Sullivan models of them.