We give an overview of five rationalization theories for spaces (Bousfield-Kan’s ℚ-completion; Sullivan’s rationalization; Bousfield’s homology Casacuberta-Peschke’s Ω-rationalization; Gómez-Tato-Halperin-Tanré’s π1-fiberwise rationalization) that extend the classical simply connected spaces. also corresponding groups (ℚ-completion; Hℚ-localization; Baumslag Malcev completion.

Following a telephonic deposition, the author discovered that a psychiatrist expert witness for the other side had electronically eavesdropped on the entire six-hour proceedings. Under cross-examination the expert admitted eavesdropping on instruction of state's attorneys, and directing their deposition of the author, but denied wrongdoing. The ethical implications of such deceptive behavior an...

OBJECTIVES To examine construct and predictive utility of an adapted cognitive rationalization scale for tanning-bed use. METHODS Current/former tanning-bedusing undergraduate students (N = 216; 87.6% females; 78.4% white) at a large northeastern university participated in a survey. A cognitive rationalization for tanning-bed use scale was adapted. Standardized self-report measures of past ta...

An ever broader availability of freeform designs together with an increasing demand for product customization has lead to a rising interest in efficient physical realization of such designs, the trend toward personal fabrication. Not only large-scale architectural applications are (becoming increasingly) popular but also different consumer-level rapid-prototyping applications, including toy and...

In recent years, the prices of city commercial housing are soaring, causing wide attention of public and fierce discussion about whether it is reasonable for the housing prices in China. This paper attempts to establish a method to measure housing price-rationalization. Firstly, the paper establishes rationalization evaluation system of housing price from commercial housing price formation, res...