On infinite regular and chiral maps
classification
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keywords
infinitechiralregulargenusmapsprovesurfaceloch
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We prove that infinite regular and chiral maps take place on surfaces with at most one end. Moreover, we prove that an infinite regular or chiral map on an orientable surface with genus can only be realized on the Loch Ness monster, that is, the topological surface of infinite genus with one end.
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