ΣY Σ f −→ΣX →ΣX ∪Σ f CΣY. Together, these turn a CW-structure on a space X into a CW-structure on ΣX by shifting all the cells of X up one dimension. There’s an analogous shift operation in graded algebraic contexts: the suspension of a graded group, for instance, is given by the formula (ΣG)n+1 =Gn . Much of modern homotopy theory revolves around the study of stable invariants, which are invar...

Abstract A detailed study of the ground state of the Coulomb system (ααee) which corresponds to the He 2 molecular ion in a magnetic field B = 0− 4.414× 10 13 G in parallel configuration (infinitely massive α−particles are situated along a magnetic field line) is presented. The variational method is employed using a trial function which includes electronic correlation in the form exp (γr12) whe...

The global potential energy surfaces of the first six singlet electronic states of CO2, 1-3(1)A', and 1-3(1)A" are constructed using high level ab initio calculations. In linear molecule, they correspond to X̃(1)Σg (+), 1(1)Δu, 1(1)Σu (-), and 1(1)Πg. The calculations accurately reproduce the known benchmarks for all states and establish missing benchmarks for future calculations. The calculated...

First-principles simulations suggest that additional OH formation in the troposphere can result from ozone interactions with the surface of cloud droplets. Ozone exhibits an affinity for the air-water interface, which modifies its UV and visible light spectroscopic signatures and photolytic rate constant in the troposphere. Ozone cross sections on the red side of the Hartley band (290- to 350-n...

Consider the problem of a multiple access channel with a large number of users. While several multiuser coding techniques exist, in practical scenarios, not all users can be scheduled simultaneously. Thus, a key problem is which users to schedule in a given time slot. Although the problem has been studied in various time-independent scenarios, capacity scaling laws and algorithms for timedepend...

For each d ≥ 2, the mapping class group for plane curves of degree d will be defined and it is proved that there exists uniquely the Meyer function on this group. In the case of d = 4, using our Meyer function, we can define the local signature for 4dimensional fiber spaces whose general fibers are non-hyperelliptic compact Riemann surfaces of genus 3. Some computations of our local signature w...

Compact binaries are an important class of gravitational-wave (GW) sources that can be detected by current and future GW observatories. They provide a testbed for general relativity (GR) in the highly dynamical strong-field regime. Here, we use GWs from inspiraling binary neutron stars black holes to investigate dipolar gravitational radiation (DGR) varying constant predicted some alternative t...

We present results on the clustering of Lyman break galaxies (LBGs) around a probable damped Lyα absorption (DLA) line cloud at zabs = 2.974 from deep UBV I images of the field containing the quasar APM 08279+5255 (zem = 3.91). The large area covered by our images, 0.31 deg 2 or ∼ 40 × 40 Mpc co-moving at redshift z = 3, and their depth, μI,AB(sky) ≃ 27.6 mag arcsec , allow us to identify ∼ 450...

We consider the structure of marginally Toomre-stable starburst disks under the assumption that radiation pressure on dust grains provides the dominant vertical support against gravity. This assumption is particularly appropriate when the disk is optically thick to its own infrared radiation, as in the central regions of Ultraluminous Infrared Galaxies (ULIRGs). We argue that because the disk r...

In their paper [DT1], N. Dunfield and W. Thurston define a notion of “random 3-manifold” and study some properties of those manifolds with respect (among other things) to the existence of finite covers with certain covering groups, especially with regard to their homological properties (in particular, which ones have positive first Betti number). In this note, we show that some applications of ...