Separability in (strongly) topological gyrogroups

Topological friction strongly affects viral DNA ejection.

Bacteriophages initiate infection by releasing their double-stranded DNA into the cytosol of their bacterial host. However, what controls and sets the timescales of DNA ejection? Here we provide evidence from stochastic simulations which shows that the topology and organization of DNA packed inside the capsid plays a key role in determining these properties. Even with similar osmotic pressure p...

Workshop: Strongly Correlated Topological Phases of Matter

Gyrogroups and Gyrovector Spaces and Hyperbolic Geometry

We show that the algebra of the group SL(2; C) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the Lorentz group and its underlying hyperbolic geometry. The superiority of the use of the gyrogroup formalism over the use of theSL(2; C) formalism for dealing with the Lorentz group in some cases is indicated by (i) the validity of gyrogroups and gyrovector spaces...

Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

Topological frequency conversion in strongly driven quantum systems

Ivar Martin, Gil Refael, and Bertrand Halperin 1 Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA 2 Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA 3 Institute of Quantum Information and Matter and Department of Physics 4 Walter Burke Institute of Theoretical Physics, California Institute of Technology, Pasaden...