Z-Set Unknotting in Large Cubes

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
A. "Alex" Chigogidze, Professor and Department Chair (Creator)
Institution
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/

Abstract: We introduce a notion of a Z -set and prove various versions of Z -set unknotting theorems in the Tychonov cube of weight of r. These results are applied to the study of Sigma-products. In particular, we obtain a topological characterization of the space Sigma(, +) consisting of those points of the cube I + whose at most -coordinates differ from zero.

Additional Information

Publication
arXiv:math/0607768v2 [math.GN] 2 Aug 2006
Language: English
Date: 2006
Keywords
Z-set unknotting, Sigma-product, Inverse spectrum