We introduce a new class of functions called θ-precontinuous functions which is contained in the class of weakly precontinuous (or almost weakly continuous) functions and contains the class of almost precontinuous functions. It is shown that the θprecontinuous image of a p-closed space is quasi H-closed. 2000 Mathematics Subject Classification. 54C08.

We consider spectral radius algebras associated to C0 contractions. When the operator A is algebraic, we describe all invariant subspaces that are common for operators in its spectral radius algebra BA. In all other situations BA is weakly dense and we characterize a set of rank one operators in BA that is weakly dense in L(H).

It is well known that if G admits a f.g. subgroup H with a weakly aperiodic SFT (resp. an undecidable domino problem), then G itself has a weakly aperiodic SFT (resp. an undecidable domino problem). We prove that we can replace the property “H is a subgroup of G” by “H acts translation-like on G”, provided H is finitely presented. In particular: • If G1 and G2 are f.g. infinite groups, then G1 ...

Microscopic infarcts develop within the livers of athymic nude mice during the first 24 h after human colorectal carcinoma (CRC) cells arrest within hepatic sinusoids. Because these regions are reperfused, essentially all weakly metastatic clone A and MIP-101 CRC cells die, whereas many highly metastatic CX-1 CRC cells survive. Because hepatic sinusoidal endothelial cells kill tumor cells in vi...

A subgroup H is said to be s-permutable in a group G, if HP = PH holds for every Sylow subgroup P of G. If there exists a subgroup B of G such that HB = G and H permutes with every Sylow subgroup of B, then H is said to be SS-quasinormal in G. In this paper, we say that H is a weakly SS-quasinormal subgroup of G, if there is a normal subgroup T of G such that HT is s-permutable and H ∩ T is SS-...

A new version of the ab initio gradient embedded genetic algorithm (GEGA) program for finding the global minima on the potential energy surface (PES) of mixed clusters formed by molecules and atoms is reported. The performance of the algorithm is demonstrated on the neutral H·(H(2)O)(n) (n = 1-4) clusters, that is, a radical H atom solvated in 1-4 water molecules. These clusters are of a fundam...

Unlike the "parent" carborane anion CHB(11)H(11)(-), halogenated carborane anions such as CHB(11)H(5)Br(6)(-) can be readily C-functionalized in high yield and purity, enhancing their utility as weakly coordinating anions.

A graph is $k$-degenerate if every subgraph $H$ has a vertex $v$ with $d_{H}(v) \leq k$. The class of degenerate graphs plays an important role in the coloring theory. Observed that $(k + 1)$-choosable and 1)$-DP-colorable. Bernshteyn Lee defined generalization graphs, which called \emph{weakly $k$-degenerate}. weak degeneracy plus one upper bound for many parameters, such as choice number, DP-...