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Geometry of branched minimal surfaces of finite index

Advanced Nonlinear Studies
Given I,B∈N∪{0} $I,B\in \mathbb{N}\cup \left\{0\right\}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces M in R3 ${\mathbb{R}}^{3}$ with Morse index at most I and total branching order at most B. Previous works
Meeks William H., Pérez Joaquín
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Algebraic Topology and Integration Theory [PDF]

, 1947
Hassler Whitney
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General combinatorial topology [PDF]

, 1941
Paul Alexandroff
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Abstracts of Papers: Topology [PDF]

, 1944

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Book Review: A treatise on set topology. [PDF]

, 1948
Hing Tong
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Abstracts of Papers: Topology [PDF]

, 1946

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Applications to general topology [PDF]

, 1940

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Book Review: Convergence and Uniformity in Topology [PDF]

, 1941
Norman Steenrod
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Book Review: Topology [PDF]

, 1931
P. A. Smith
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TOPOLOGY OF <I>H<SUB>n</SUB></I>-SPACES AND <I>H</I>-SQUARING OPERATIONS.

, 1956
Tatsuji Kudo, Sh ocirc r ocirc ARAKI.
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