17 citations · 28 across the 17 of their papers we have counts for
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Fibrewise topological complexity of sphere and projective bundles
M. C. Crabb
We establish a stable homotopy-theoretic version of a recent result of Farber and Weinberger on the fibrewise topological complexity of sphere bundles and prove, by closely paralle…
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 Dimitrijević Blagojević, we give a general and complete treatment of a problem of partition of mass ass…
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…
A Borsuk--Ulam theorem for cyclic -groups
M. C. Crabb
We describe a connective -theory Borsuk--Ulam/Bourgin--Yang theorem for cyclic groups of order a power of a prime . Consider two finite dimensional complex representations $U…
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…
Topology of the Grünbaum--Hadwiger--Ramos problem for mass assignments
Pavle V. M. Blagojević, Jaime Calles Loperena, Michael C. Crabb +1
In this paper, motivated by recent work of Schnider and Axelrod-Freed \& Soberón, we study an extension of the classical Grünbaum--Hadwiger--Ramos mass partition problem to mass as…