# The topology of uniform convergence on order-bounded sets

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I will discuss the problem of finding surface subgroups; that is, subgroups which are isomorphic to the fundamental group of a closed surface. Bifurcation theory uses tools from analysis, linear algebra, and topology. Attributes from the original features will be maintained in the split features. Battro ( Visual Riemannian space versus cognitive Euclidean space, 1977) with respect to the question of Adolf Grünbaum: How do human beings manage to get about so easily in a Euclidean physical environment even though the geometry of visual space is presumably hyperbolic? the Erlangen Program initiated by Felix Klein proposing a new solution to the problem of how to classify and characterize geometries on the basis of projective geometry, group theory, and their characteristic groups of transformations (rotations, translations and reflections); the entities of the geometry were the invariants of these transformations.
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