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I discuss a phenomenological model of the nucleon in which a small anti-deSitter bag is placed into the Skyrmion configuration. Such a bag has a timelikeboundary and allows naturally the Cheshire Cat Principle. Very important inthis model is the membrane of the bag, the 3-dimensional time-space manifoldS^{1}\times S^{2}, in which topological techniques will come into playComment: 20 pp, companion paper is gr-qc/940601

Hybridizing the skyrmion with an anti-de-sitter bag