17 citations · 72 across the 42 of their papers we have counts for
28 papers · 1 filter
A diagrammatic presentation of the category 3Cob
Jovana Nikolic, Zoran Petric, Mladen Zekic
A category equivalent to the category of 3-dimensional cobordisms is defined in terms of planar diagrams. The operation of composition in this category is completely described via…
A calculus for S^3-diagrams of manifolds with boundary
Bojana Femic, Vladimir Grujic, Jovana Obradovic +1
We introduce a diagrammatic language for compact, orientable 3-dimensional manifolds with boundary. A diagrammatic calculus (both integral and rational version) appropriate for thi…
Coherence for closed categories with biproducts
Zoran Petric, Mladen Zekic
A coherence result for symmetric monoidal closed categories with biproducts is shown in this paper. It is explained how to prove, by using the same technique, coherence for compact…
Spheres as Frobenius objects
Djordje Baralic, Zoran Petric, Sonja Telebakovic
Following the pattern of the Frobenius structure usually assigned to the 1-dimensional sphere, we investigate the Frobenius structures of spheres in all other dimensions. Starting…
A note on semisymmetry
Aleksandar Krapez, Zoran Petric
A survey of properties of the adjunction involving a semisymmetrization functor, which was suggested by J.D.H. Smith, and which maps the category of quasigroups with homotopies to…
Monoids, Segal's condition and bisimplicial spaces
Zoran Petric
A characterization of simplicial objects in categories with finite products obtained by the reduced bar construction is given. The condition that characterizes such simplicial obje…