As suggested in the title, Slicing Spaces: Performance of Architecture in Cinema, this project slices through the multifaceted layers of film space. The text investigates how architecture performs as an altruist, proving that environed space is not merely a backdrop in film scenes, but an active performing character. The performance of architecture varies depending on what the filmmakers wish the viewer to feel, whether it is fear, compassion or joy. Considerations take an interdisciplinary approach, not solely observing film and architecture but also studying the likes of urbanism, politics, philosophy, history, psychology, art and design. The substantial spectrum of opinions from contributing authors allows the reader to absorb the diverse relationships of architecture in cinema, inviting the reader to form their own opinions on the topic and inspiring a new way of thinking. Slicing Spaces explores the interconnected relationship between architecture and film via distinct approaches to spaces of the city, confinement, actuality, the psyche and the imagination. Diverse views on cinematic architecture are probed, such as the psychological ramifications of film architecture, the portrayals of the city as a character and the potentials of exploring fantastic places in film. Overall, the book focuses on the authoritative contribution of architecture to the realm of filmmaking. It uncovers a path to look at lived spaces of architectural design from an alternative perspective, be it interiors, buildings or cities. Utilising the architectural ingenuity of drawings and graphics, the collection takes the reader on a visual journey as well as one through narratives.

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.

This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable. It covers the definition, standard properties, extensions, embeddings, Hardy inequalities, and interpolation inequalities. The second part deals with fractional Sobolev spaces of several variables. The author studies completeness, density, homogeneous fractional Sobolev spaces, embeddings, necessary and sufficient conditions for extensions, Gagliardo-Nirenberg type interpolation inequalities, and trace theory. The third part explores some applications: interior regularity for the Poisson problem with the right-hand side in a fractional Sobolev space and some basic properties of the fractional Laplacian. The first part of the book is accessible to advanced undergraduates with a strong background in integration theory; the second part, to graduate students having familiarity with measure and integration and some functional analysis. Basic knowledge of Sobolev spaces would help, but is not necessary. The book can also serve as a reference for mathematicians working in the calculus of variations and partial differential equations as well as for researchers in other disciplines with a solid mathematics background. It contains several exercises and is self-contained.

The hottest import from Japan is taking America by storm. Sudoku forces puzzlers to use logic over intelligence and is an excellent exercise for the mind. This collection will help players hone their skills and keep them thinking for hours.

Frank Arntzenius presents a series of radical ideas about the structure of space and time, and establishes a new metaphysical position which holds that the fundamental structure of the physical world is purely geometrical structure. He argues that we should broaden our conceptual horizons and accept that spaces other than spacetime may exist.