On the basis of publications of recent years, the authors identify a number of discussed problems related to the theory and practice of museum affairs. The article attempts to describe the delegation of such characteristics to the museum space as metric and topological, substantiates their use at the present stage of museum development. The authors come to the conclusion that in the axiological aspect, the topology of the museum space represents fundamental properties, and the metric represents the applied nature of the science of museology. The museum space in the aspect of museology, by analogy with its interpretation in philosophy and science, can be delegated such characteristics as metric and topological. Topological characteristics include “contact” and “limitation” of objects, the order of their arrangement, interpretation of the boundary of space, its discreteness and continuity, the number of dimensions, symmetry, etc. The topological properties of space are its qualitative characteristics. They are primary and are determined in relation to metric – quantitative: by the distance between places, the length of objects, their shape, etc. This article does not raise a question from the sphere of philosophy and natural science. In our case, the idea of space acts as a methodological research tool. In museology, such properties appear as a principle, which has already been declared above by the application of the analogy procedure, i.e. focusing on the similarity of objects and processes in any properties of real space and museum. The analogy is plausible, its confirmation by museum practice provides an experience that replenishes the body of knowledge in the body of museology. The authors refer to the topological properties of the museum space as an analogy of the real is its multidimensionality – an analogue of three dimensions. And the multidimensionality of the museum space includes the following aspects: philosophical (ideological), social (sociological), sociocultural (aspect of continuity), semantic-symbolic, historical, etc. The identified aspects of the museum space – topological and metric – based on the method of analogy at the same time indicate the continuity of the topological and metric properties of the museum space and their unity. But this is not a unity of two equal values. The primary role in it belongs to topology, since topology captures qualitative and defining properties, and the metric has a phenomenological character, which allows you to perceive, describe, interpret the nature of the museum area. From the point of view of axiology, the topology of the museum space represents the fundamental properties, and the metric represents its applied nature. The authors are convinced that a museum specialist of a new generation is needed to reveal the full content of the museum space. This specialist can be obtained when creating integrative joint programs, universities providing training for museologists and established scientific schools.