3 papers
math.AT2024
Many partitions of mass assignments
Pavle V. M. Blagojevic, Michael C. Crabb
In this paper, extending the recent work of authors with Calles Loperena and DimitrijeviÄ BlagojeviÄ, we give a general and complete treatment of a problem of partition of mass a…
math.AT2024
Multivalued sections and self-maps of sphere bundles
M. C. Crabb
Let be a finite group and a finite dimensional (non-zero) orthogonal -module such that, for each prime dividing the order of , the subspace of fixed by a Sylo…
math.AT2024
On covering dimension and sections of vector bundles
M. C. Crabb
An elementary result in point-set topology is used, with knowledge of the mod cohomology of real projective spaces, to establish classical results of Lebesgue and Knaster-Kurat…