M. C. Crabb

activity

20102022

collaborators

3 papers

math.AT2022

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…

math.AT2015

$Z_{2}$ -bordism and the Borsuk-Ulam Theorem

Michael C. Crabb, Daciberg L. Goncalves, Alice K. M. Libardi +1

The purpose of this work is to classify, for given integers $m, n \geq 1$ , the bordism class of a closed smooth $m$ -manifold $X$ with a free smooth involution $τ$ with respect to…

math.AT2010

The geometric Hopf invariant and double points

Michael Crabb, Andrew Ranicki

The geometric Hopf invariant of a stable map F is a stable Z_2-equivariant map h(F) such that the stable Z_2-equivariant homotopy class of h(F) is the primary obstruction to F bein…

Topology of the Grünbaum--Hadwiger--Ramos problem for mass assignments

Z2​-bordism and the Borsuk-Ulam Theorem

The geometric Hopf invariant and double points

$Z_{2}$ -bordism and the Borsuk-Ulam Theorem