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Titlebook: Galois’ Dream: Group Theory and Differential Equations; Group Theory and Dif Michio Kuga Book 1993 Birkhäuser Boston 1993 Galois group.Galo

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https://doi.org/10.1007/978-3-662-00417-3We first introduce a notation:.means that . is a covering and .
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The Fourth Week: The fundamental group of a surfaceThe scene of today’s lecture is set in a region in a plane. We define a region to be a part of a plane surrounded by some closed curves. For example, the portion . in Figure 4.1 surrounded by the closed curves .., .., and .. is a region (i.e., the unshaded part of the figure).
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The Fifth Week: Fundamental GroupsLast week we were considering curves in a region. A region was a part of the plane surrounded by closed curves (for example, the unshaded part of figure 5.1). We decided to call such a region land and the outside region a sea or a lake (such as the shaded part of Figure 5.1)
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