29 citations · 55 across the 9 of their papers we have counts for
9 papers
On integral cohomology of certain orbifolds
Anthony Bahri, Dietrich Notbohm, Soumen Sarkar +1
The CW structure of certain spaces, such as effective orbifolds, can be too complicated for computational purposes. In this paper we use the concept of -CW complex stru…
The classification of weighted projective spaces
Anthony Bahri, Matthias Franz, Dietrich Notbohm +1
We obtain two classifications of weighted projective spaces; up to homeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification u…
Vertex colorings of simplicial complexes
Natalia Dobrinskaya, Jesper M. Møller, Dietrich Notbohm
We define an (r,s)-coloring of an abstract simplicial complex to be a coloring using r colors of the vertices so that in any simplex at most s vertices have the same color. We tran…
Depth and homology decompositions
Dietrich Notbohm
Homology decomposition techniques are a powerful tool used in the analysis of the homotopy theory of (classifying) spaces. The associated Bousfield-Kan spectral sequences involve h…
Vector bundles over Davis-Januszkiewicz spaces with prescribed characteristic classes
Dietrich Notbohm
For any (n-1)-dimensional simplicial complex, we construct a particular n-dimensional complex vector bundle over the associated Davis-Januszkiewicz space whose Chern classes are gi…
Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces
Dietrich Notbohm
We show that coloring properties of a simplicial complex K are reflected by splitting properties of a bundle over the associated Davis-Januszkiewicz space whose Chern classes are g…