LJ-spaces

Abstract

In this paper LJ-spaces are introduced and studied. They are a common generalization of Lindelöf spaces and J-spaces researched by E. Michael. A space X is called an LJ-space if, whenever {A, B} is a closed cover of X with A ∩ B compact, then A or B is Lindelöf. Semi-strong LJ-spaces and strong LJ-spaces are also defined and investigated. It is demonstrated that the three spaces are different and have interesting properties and behaviors.

EnvZ/OmpR Two-Component Signaling: An Archetype System That Can Function Noncanonically

“…For example, the D55E-3XFLAG-tagged OmpR required concentrations >1 μM to bind in electrophoretic mobility shift assays (189), even though the affinity of wildtype, unphosphorylated OmpR for the porin genes ompF and ompC is −150 nM (108). OmpR targets identified by SELEX (188), were not able to be validated (190), and different OmpR targets were identified depending on whether a C-terminal or Nterminal tag was employed (188). Thus, extreme caution should be used when interpreting results using OmpR C-terminal fusions.…”

Multilamellar Vaccine Particle Elicits Potent Immune Activation with Protein Antigens and Protects Mice against Ebola Virus Infection

“…MVPs were coloaded with MPLA and DQ-OVA, which is OVA protein labeled with self-quenched fluorescent dyes that fluoresce upon protease-mediated degradation. 31 Compared with the soluble mixture of DQ-OVA + MPLA, MVPs significantly enhanced the intracellular processing of DQ-OVA, as evidenced by a 4-fold increase in the DQ-OVA fluorescence measured by flow cytometric analysis after 24 h of BMDC culture (P < 0.001, Figure 4B). We further confirmed these results with confocal microscopy; whereas BMDCs pulsed with a soluble DQ-OVA + MPLA mixture displayed weak DQ-OVA fluorescence signal after 24 h, BMDCs treated with MVPs exhibited strong DQ-OVA fluorescence signal from endolysosomes and throughout the cytosol (Figure 4C).…”

Weak L- Spaces

“…In the definition of the J-space, "A or B is compact" cannot be weakened to "A or B is Lindelof. In [2], the L-space is introduced and studied which generalised the J-space. A space X is an L-space if, whenever {A,B} is a closed cover of X with Ar\B compact, then A or B is Lindelof.…”

“…^ (1) is by Proposition 2. (1)=>(2). Suppose(1), and let X\ be Lindelof, {A,B, W) a closed cover of X 2 with AnB = 0 and W compact.…”