Epsilon Nielsen coincidence theory

2019 ◽  
Vol 258 ◽  
pp. 439-450 ◽  
Author(s):  
Yujin Paek ◽  
Cholryong Kang ◽  
Gukchol Mun ◽  
Taewon Ryu
Keyword(s):  
Coincidence Theory

scholarly journals A Topological Coincidence Theory for Multifunctions via Homotopy

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 427
Author(s):  
Donal O’Regan
Keyword(s):  
Simple Result ◽  
Coincidence Theory ◽  
Transversality Theorem

A new simple result is presented which immediately yields the topological transversality theorem for coincidences.

scholarly journals Coincidence theory for infra-nilmanifolds

2010 ◽  
Vol 157 (10-11) ◽  
pp. 1815-1832 ◽  
Author(s):  
Karel Dekimpe ◽  
Pieter Penninckx
Keyword(s):  
Coincidence Theory

A LOCALISED BOUNDARY OBJECT: SEVENTEENTH-CENTURY WESTERN MUSIC THEORY IN CHINA

2020 ◽  
Vol 39 ◽  
pp. 75-113
Author(s):  
Sheryl Chow
Keyword(s):  
Seventeenth Century ◽  
Print Culture ◽  
Music Theory ◽  
Scientific Revolution ◽  
Cultural Exchange ◽  
Boundary Object ◽  
Western Music ◽  
Coincidence Theory ◽  
New Knowledge ◽  
Musical Traditions

In 1685, the Portuguese Jesuit Thomas Pereira was ordered by the Qing Kangxi emperor to write books on Western music theory in Chinese. Presented in the books were seventeenth-century practical and speculative music theories, including the coincidence theory of consonance. Invoking the concept of ‘boundary object’, this article shows that the cultural exchange, which gave rise to new knowledge by means of selection, synthesis and reinterpretation, was characterised by a lack of consensus between the transmitter and the receivers over the functions of the imported theories. Although the coincidence theory of consonance could potentially effect the transition from a pure numerical to a physical understanding of pitch, as in the European scientific revolution, it failed to flourish in China not only because of different theoretical concerns between European and Chinese musical traditions, but also because of its limited dissemination caused by Chinese print culture.

Essential maps and coincidence theory

2016 ◽  
Vol 96 (13) ◽  
pp. 2285-2290 ◽  
Author(s):  
Mohamed Jleli ◽  
Donal O’Regan ◽  
Bessem Samet
Keyword(s):  
Coincidence Theory
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