Abstract
We show that the difference between the smallest number gcat(X) of contractible sets which cover a space X and its Lusternik-Schnirelmann category may be arbitrarily large. We also show that gcat (X) is far away from being a homotopy invariant.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
