Year 2020

• Otopy Classification of Gradient Compact Perturbations of Identity in Hilbert Space

  Publication

  • P. Bartłomiejczyk
  • P. Nowak-Przygodzki

  - FILOMAT - Year 2020

  We prove that the inclusion of the space of gradient local maps into the space of all local maps from Hilbert space to itself induces a bijection between the sets of the respective otopy classes of these maps, where by a local map we mean a compact perturbation of identity with a compact preimage of zero.

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Year 2016

• Weakly convex domination subdivision number of a graph

  Publication

  • M. Dettlaff
  • S. Kosary
  • M. Lemańska
  • S. Sheikholeslami

  - FILOMAT - Year 2016

  A set X is weakly convex in G if for any two vertices a; b \in X there exists an ab–geodesic such that all of its vertices belong to X. A set X \subset V is a weakly convex dominating set if X is weakly convex and dominating. The weakly convex domination number \gamma_wcon(G) of a graph G equals the minimum cardinality of a weakly convex dominating set in G. The weakly convex domination subdivision number sd_wcon (G) is the minimum...

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