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This is an expository account of two classical theorems in surface topology: Topological surfaces have unique smooth structures, and homeomorphisms of smooth surfaces are isotopic to diffeomorphisms.
In the tutorial we will first present basic results in surface topology (at a very basic level), graph theory, and topological graph theory.
Werb, M. et al. Surface topology affects wetting behavior of Bacillus subtilis biofilms.
Mou, D. et al. Distinct Fermi surface topology and nodeless superconducting gap in a (Tl0.58Rb0.42 Fe1.72Se2 superconductor.
The surface topology was evaluated by atomic force microscopy.
After lift-off, the membranes can be transferred onto a wide range of substrates, independent of the substrate composition and surface topology.
For the bulk system, we analyze quantum oscillations with changes in the Fermi surface topology.
The path length depends on the feed direction and the surface topology.
The surface topology of joint surfaces strongly influences shear strength of these discontinuities.
The electrostatic potential and surface topology of liposomes affect the internalization by single cells.
The effect of liposomes surface electrostatic potential and surface topology on their intracellular distribution was evaluated.
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