unsupervised construction of topological maps, which provide an abstraction of the environment in terms of visual aspects. An unsupervised clustering algorithm is used to represent the images in multiple subspaces, forming thus a sensory grounded representation of the environment's appearance. By introducing transitional fields between clusters we are able to obtain a partitioning of the image set into distinctive visual aspects. By ing the low-level sensory data we are able to efficiently reconstruct the overall topological layout of the covered path. After the high level topology is estimated, we repeat the procedure on the level of visual aspects to obtain local topological maps. We demonstrate how the resulting representation can be used for modeling indoor and outdoor environments, how it successfully detects previously visited locations and how it can be used for the estimation of the current visual aspect and the retrieval of the relative position within the current visual ...