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Orbit class and its applications

Volume 245 / 2019

Marzieh Bayeh, Soumen Sarkar Fundamenta Mathematicae 245 (2019), 55-77 MSC: 55M30, 55M99. DOI: 10.4064/fm551-4-2018 Published online: 26 October 2018


We introduce the concepts of orbit class, orbit diagram and orbital spaces, and study their properties. Then we apply the results on orbit classes to study equivariant and invariant topological complexity, as well as to give some lower and upper bounds for the equivariant LS-category and $A$-$G$-LS-category.


  • Marzieh BayehDepartment of Mathematics and Statistics
    Dalhousie University
    Halifax B3H4R2, Canada
  • Soumen SarkarDepartment of Mathematics
    Indian Institute of Technology Madras
    Chennai 600036, India

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