Abstract This is an expository article without any claim of originality. We give a complete and self-contained account the Gromov–Lawson–Chernysh surgery theorem for positive scalar curvature metrics.

The relevance of studying the growth and development North American cypress tree species in Omsk region is due to short period their use urban landscaping. issues effective production planting material these rocks West Siberian have not been fully studied. landscaping city will expand range conifers reduce anthropogenic load. research devoted study effect stimulants on vegetative reproduction b...

It is proved that for every continuous lattice there is a unique semiuniform structure generating both the order and the Lawson topology. The way below relation can be characterized with this uniform structure. These results are used to extend many of the analytical properties of real-valued l.s.c. functions to l.s.c. functions with values in a continuous lattice. The results of this paper have...

Recently the authors showed that there is a robust potential theory attached to any calibrated manifold (X,φ). In particular, on X there exist φ-plurisubharmonic functions, φ-convex domains, φ-convex boundaries, etc., all inter-related and having a number of good properties. In this paper we show that, in a strong sense, the plurisubharmonic functions are the polar duals of the φ-submanifolds, ...