On closed subsets of M1-spaces

AbstractWe show that every closed subset of an M1-space has a closure-preserving open neighborhood base. This answers a question of Ceder, and gives positive solutions to other problems on adjunction spaces and countable sums of M1-spaces

On resolutions of generalized metric spaces

AbstractWe study the relation between generalized metric spaces and their resolutions. Here, we consider the class of spaces with Gδ-diagonals, M3-,M1-spaces, M3–μ-spaces and developable spaces

Expression and regulatory effects on cancer cell behavior of NELL1 and NELL2 in human renal cell carcinoma

We thank Professors Michael Rehli, Yoshiaki Ito, and Kristian Helin for gifting plasmids, Dr. Alasdair MacKenzie (University of Aberdeen) for helpful discussion, and Mr. Takashi Mizukami, Ms. Ryoko Tokuda, and Ms. Sanae Funaoka (Kanazawa University) for technical assistance.Peer reviewedPublisher PD

On the dimension of generalized metric spaces

Thesis--University of Tsukuba, D.Sc. (B), no. 103, 1982. 7. 3

Lattice thermal conductivities of two SiO2_2 polymorphs by first-principles calculation and phonon Boltzmann transport equation

Lattice thermal conductivities of two SiO$_2$ polymorphs, i.e., $\alpha$-quartz (low) and $\alpha$-cristobalite (low), were studied using first-principles anharmonic phonon calculation and linearized phonon Boltzmann transport equation. Although $\alpha$-quartz and $\alpha$-cristobalite have similar phonon densities of states, phonon frequency dependencies of phonon group velocities and lifetimes are dissimilar, which results in largely different anisotropies of the lattice thermal conductivities. For $\alpha$-quartz and $\alpha$-cristobalite, distributions of the phonon lifetimes effective to determine the lattice thermal conductivities are well described by energy and momentum conservations of three phonon scatterings weighted by phonon occupation numbers and one parameter that represents the phonon-phonon interaction strengths