Recent content by s_jubeh

Thank you, I get it

Definition: (open cell). Let X be a Hausdorff space. A set c ⊂ X is an open k − cell if it is homeomorphic to the interior of the open k-dimensional ball Dk = {x ∈ Rk | x < 1}. The number k is unique by the invariance of domain theorem, and is called dimension of c. A 0-cell, 1-cell...

Derar Wofsy, I think we are talking about diffrent things, I am interested in cw-complex. the defenesion of cw-complex is purly based on topology not geometry. so my question is how to add geometric realization to cw-complexes. Regards

Dear wofsy, Can you please direct me to this algorithm and some explanation. It seems that we are talking about different things. Thanks

Dear wofsy, I did not understand your reply " I am not an expert in this field". Actually my problem lies in representing geometrical objects. Suppose that I have a cell complex (cw-complex) such that each cell in this complex can be a assigned geometrical realization. fro example vertix...

Hello, Suppose that I have a cell complex and I want to define it's geometric realization, I can do it via mapping such that assign coordinates to 0-cells. however how can i do that for edges, faces and volumes. is there is ageneral formulas for lines, faces and volumes. Regards