Journal of Mathematical Techniques and Computational Mathematics(JMTCM)
ISSN: 2834-7706 | DOI: 10.33140/JMTCM
Impact Factor: 1.3
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Whitehead Aspherical Conjecture via Ribbon Sphere-Link
Abstract
Akio Kawauchi
Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the conjecture is true for every contractible finite 2-complex. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex.