2018/12/15 by Zhao, Bojun
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1812.06245
S. Blank solved the question of classifying immersed circles in ℝ2 that extend to immersed disks, and how many topologically inequivalent disks can be extended. The quetions of various cases in 2-dimension have already been solved by generalizing his method. In this paper, we give a new way, which is straightforward for the questions, and we determine all topological equivalence classes of immersed surfaces bounded by an arbitrary immersed circle in a closed oriented surface.