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- W2499449664 abstract "Publisher Summary This chapter discusses generalized metric spaces. Any class of spaces defined by a property possessed by all metric spaces could be called a class of generalized metric spaces. The term is meant for classes that are close to metrizable spaces in some sense. They usually possess some of the useful properties of metric spaces, and some of the theory or techniques of metric spaces carries over to these wider classes. They can be used to characterize the images or pre-images of metric spaces under certain kinds of mappings. They often appear in theorems that characterize metrizability in terms of weaker topological properties. They should be stable under certain topological operations, such as finite or countable products, closed subspaces, and perfect mappings. This class has played an important role in the dimension theory of general spaces. The theory of generalized metric spaces is closely related to what is known as metrization theory." @default.
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- W2499449664 date "1984-01-01" @default.
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- W2499449664 title "Generalized Metric Spaces" @default.
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