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The Topological Transversality Theorem for Multivalued Maps with Continuous Selections

Author

Listed:
  • Donal O’Regan

    (School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway H91 TK33, Ireland)

Abstract

This paper considers a topological transversality theorem for multivalued maps with continuous, compact selections. Basically, this says, if we have two maps F and G with continuous compact selections and F ≅ G , then one map being essential guarantees the essentiality of the other map.

Suggested Citation

  • Donal O’Regan, 2019. "The Topological Transversality Theorem for Multivalued Maps with Continuous Selections," Mathematics, MDPI, vol. 7(11), pages 1-6, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1113-:d:287498
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