Abstract
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra. Among them are free topological groups, free locally convex spaces, free Banach-Lie algebras, and more. An accent is put on the relationship of those constructions with other areas of mathematics and their possible applications. A number of open problems is discussed; some of them belong to universal arrow theory, and other may become amenable to the methods of this theory.
Publisher
Cambridge University Press (CUP)
Reference180 articles.
1. Free topological groups of absolute neighbourhood retracts and infinite-dimensional manifolds;Zarichnyĭ;Soviet Math. Dokl.,1982
2. On interrelations between dimensions of free bases of free topological groups;Zambakhidze;Bull. Acad. Sci. Georgian SSR,1980
3. ON THE INTERRELATIONS AMONG THE PERIPHERAL PROPERTIES OF TIKHONOV SPACES, THEIR POWERS, EXPONENTIALS, FREE GROUPS, AND SEMIGROUPS
4. Weak and pointwise compactness in the space of bounded continuous functions
5. Free groups of topological spaces;Valov;C.R. Acad. Bulgare Sci.,1981
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