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For small scattering lengths, cold bosonic atoms form a condensate thedensity profile of which is smooth. With increasing scattering length, thedensity {\it gradually} acquires more and more oscillations. Finally, thenumber of oscillations equals the number of bosons and the system becomes {\itfermionized}. On this pathway from condensation to fermionization intriguingphenomena occur, depending on the shape of the trap. These include macroscopicfragmentation and  {\it coexistence} of condensed and fermionized parts that are separated inspace.Comment: 12 pages, 2 figure

Pathway from Condensation via Fragmentation to Fermionization of Cold Bosonic Systems