Indecomposable Continuum

Locating the diffusion of mathematical concepts into modern literature, experimental music, and critical theory in twentieth-century Japan

In Indecomposable Continuum, Steven C. Ridgely explores where theoretical mathematics meets culture in twentieth-century Japan, tracing how concepts from relativity theory and topology migrated into Japanese art and literature. Through readings of avant-garde fiction, experimental sound practices, and postmodern theory, Ridgely demonstrates how topology became a language for rethinking space and perception.

Ridgely focuses on abstract models such as the Klein bottle, non-Euclidean geometry, and the Lakes of Wada to reveal how Japanese artists and intellectuals like Yuasa Jōji, Inagaki Taruho, and Asada Akira transformed difficult mathematical ideas into powerful aesthetic and social imaginaries in surprising and clever ways. Rather than treating mathematics as separate from cultural studies, Ridgely positions topology itself as a cultural form whose abstractions generated new possibilities for artistic creation and theoretical inquiry in music, novels, and popular media.

Indecomposable Continuum demonstrates how Japanese artists made seemingly impossible abstractions accessible and compelling, revealing the unexpected creativity that emerged when modern mathematics entered the cultural sphere. In doing so, the book offers a fresh perspective on the relationship between scientific thought and artistic modernism in Japan.

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