Abstract
For a compact polyhedron, P, the category, cat( P), of P in the sense of Lusternik and Schnirelmann is the smallest integer k such that P can be covered with k subpolyhedra each of which is null homotopic in P. The strong category, Cat( P) is the smallest integer k such that a compact polyhedron K with the same homotopy type of P can be covered k contractible subpolyhedra. We use Q-manifold theory to obtain some characterizations of the category and the strong category.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
