Historically, for metric spaces, the search for cosmic space in the theory of distance has extended to a century of mathematical research. History is normally divided into two periods: the classical (detachable scale) and the modern scale (not necessarily separable).

Classical theory is well documented in many books. This study is the first book to unify modern theory from 1960-2007.

Such as classical theory, modern theory mainly includes the interval of the unit. Unique features include: * Using graphics to illustrate the fracture vision of these spaces; * Clear coverage of a range of topics including topology, mapping theory, geometry fracture, and algebraic topology; The last contains the surveys and provides a historical context for relevant research that includes the theory of other theories, the theory of graph, and the closed imbeddings; * Each chapter contains a commentary section that provides a historical context with references that serve as a bridge This study will be useful for To the water of topology, to mathematicians who work in fracture engineering, and to mathematicians.

Being the first study to focus on the relationship between generalized fractals and general spaces in dimension theory, it will be a natural text for graduate or self-study seminars - will find a reader interested in many open-ended problems that will create further research into these topics. ..