The aim of this paper is to establish a connection between the topology of the automorphism group of a symplectic manifold (M,ω) and the quantum product on its homology. More precisely, we assume that M is closed and connected, and consider the group Ham(M,ω) of Hamiltonian automorphisms with the C-topology. Ham(M,ω) is a path-connected subgroup of the symplectic automorphism group Aut(M,ω); if...

The purpose of this paper is to construct a weak hyper semi-quantale as a generalization of the concept of semi-quantale and used it as an appropriate hyperlattice-theoretic basis to formulate new lattice-valued topological theories. Based on such weak hyper semi-quantale, we aim to construct the notion of a weak hypervalued-topology as a generalized form of the so-called lattice-valued t...

In this paper, we show that if $M$ is a non-zero Artinian $R$-module and $\underline{x}:=x_1,\ldots,x_n$ an $M$-coregular sequence, then $x_1,\ldots,x_n$ $D(H_n^{\underline{x}}(M))$-coregular sequence. Moreover, $R$ complete with respect to $I$-adic topology $d=\mathrm{Ndim} M$, $\dim H^I_d(M) \le d$ $\mathrm{depth} H_I^d(M)\ge \min\{{2, d}\}$ whenever $H^I_d(M) \ne 0.$

In this paper, by defining soft ditopological spaces, a new approach to the soft topology via softset theory is made, with defining two structures on a soft set a soft topology and a softsubspace topology. Moreover, separation axioms in soft ditopological spaces are characterizedand the relations between soft topological and soft ditopological structures are investigated.Referen...

in this paper the concept of metacompactness in l-topologicalspaces is introduced by means of point finite families of l-fuzzy sets. thisfuzzy metacompactness is a natural generalization of lowen fuzzy compactness.further a characterization of fuzzy metacompactness in the weakly inducedl-topological spaces is also obtained.

In order to achieve optimization control of complex network topology connection and to identify the network topology which with the greatest network connection gain, this paper proposes the network topology connection optimization control algorithm based on network efficiency and average connectivity. The algorithm uses network efficiency to characterize network connectivity gains, uses average...

In this paper, for topology optimization of double layer grids, an efficient optimization method is presented by combination of Imperialist Competitive Algorithm (ICA) and Gravitational Search Algorithm (GSA) which is called ICA-GSA method. The present hybrid method is based on ICA but the moving of countries toward their relevant imperialist is done using the la...

This paper introduces a novel two transistors forward topology employing a z-source to achieve ZVZCS and power transformer resetting for various applications. Comparing with the forward converter, this topology has the advantage of displaying ZCS condition with an added Z-Source and no additional switches when the switches turn on, and that ZVS condition happens when the switches turn off. Duty...