Cyanobacteria (Cyanophytes, Cyanoprokaryotes) are among the most fascinating organisms in the Earth's biosphere. Their origin in the Early Precambrian was one of the most important steps in evolution (Schopf 1974a(Schopf , 1974b(Schopf , 1993(Schopf , 1996. They are prokaryotic bacteria, however, their cells developed the plant-type photosynthetic apparatus that included chlorophyl a and both photosystems. The subsequent evolution of the plant kingdom is based on numerous intracellular symbioses of prokaryotic cyanobacteria with eukaryotic heterotrophs. The relative ease with which cyanobacteria enter into symbioses is a characteristic of this lineage (cf., e.g., reviews of Janson 2002; Carpenter and Foster 2002, and others). Other remarkable adaptations developed in cyanobacteria enabled them to colonize variable and extreme habitats in Earth ecosystems (Carr and Whitton 1973;Fogg et al. 1973; Whitton and Potts 2000; Rai and Gaur 2001). Cyanobacteria are the only oxyphototrophic organisms to contain Nif-genes, and mechanisms and adaptations for fixation of gaseous nitrogen. They participate in the formation of travertine and stromatolites, and a substantial part of limestone deposits over the Earth results from their metabolic activity. Several types are adapted to colonise hypersaline locations, hot springs up to over 70°C, or to enormous oscillations of temperatures and periodical drying in both cold and hot deserts. They are able to produce toxins, which can function in competitive interactions in various ecosystems. Most noteworthy is the extraordinary vitality of this special bacterial group which has not declined during its existence that has spanned billions of years.The massive developments of cyanobacterial populations have also become important because of increasing eutrophication of the biosphere. Thus there is major concern regarding "water blooms" in freshwaters of all continents, unexpected developments of cyanobacterial types in plankton and littoral zones of seas and oceans (e.g., picoplanktic Prochlorococcus, or periphytic Lyngbya majuscula), and cyanobacterial crusts in semideserts (Leptolyngbya, Microcoleus, Nostoc). From a scientific perspective the most challenging questions revolve around evolutionary strategies, the survival and diversification of cyanobacteria over the long period of their existence, and evaluation of their present diversity in nature (cf. The application of modern ecological, ultrastructural and molecular methods, aided by the cultivation of numerous cyanobacterial morphotypes, has substantially changed our knowledge of these organisms. It has led to major advances in cyanobacterial taxonomy and criteria for their phylogenetic classification. Molecular data provide basic criteria for cyanobacterial taxonomy; however, a correct phylogenetic system cannot be constructed without combining genetic data with knowledge from the previous 150 years research of cyanobacterial diversity. Thus, studies of morphological variation in nature, and modern morphological, ultrastructural...