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Minimal m-handle decomposition of three-dimensional handlebodies
Authors: Alexander Prishlyak, Elena Vyatchaninova
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Abstract
For the 3-dimensional handlebody we build an m-handle decomposition with minimal number of handles and prove a criterion of minimality. It is proved that two functions can be connected by a path in the m-function space without inner critical points on the solid torus if they have the same number of critical points of each index.Taras Shevchenko Kiev National University
Geometry department
4-e, Academician Glushkov pr.
Kiev, Ukraine, 03127
E-mail:
Geometry department
4-e, Academician Glushkov pr.
Kiev, Ukraine, 03127
E-mail:
Fulltext
– 0.08 Mb
Contents
- Academician Mitrofan M. Choban founder of the moldavian scientific school in topology
- Liouville's theorem for vector-valued functions
- On the number of metrizable group topologies on countable groups
- Short signatures from the difficulty of factoring problem
- Selected Old Open Problems in General Topology
- Infinitely many maximal primitive positive clones in a diagonalizable algebra
- Functional compactifications of T0-spaces and bitopological structures
- On free groups in classes of groups with topologies
- On a four-dimensional hyperbolic manifold with finite volume
- On spaces of densely continuous forms
- A selection theorem for set-valued maps into normally supercompact spaces
- Minimal m-handle decomposition of three-dimensional handlebodies
- Examples of quasitopological groups
- Certain differential superordinations using a multiplier transformation and Ruscheweyh derivative
- The 20th Conference on Applied and Industrial Mathematics (CAIM-2012) dedicated to the 70th anniversary of Academician Mitrofan M. Choban
