By I. M. James
Professor Peter Hilton is likely one of the top recognized mathematicians of his iteration. He has released nearly three hundred books and papers on a variety of facets of topology and algebra. the current quantity is to have fun the party of his 60th birthday. It starts with a bibliography of his paintings, via studies of his contributions to topology and algebra. those are through 11 examine papers focused on a variety of issues of present curiosity in algebra and topology. The articles are contributed through a few of the many mathematicians with whom he has labored at one time or one other. This publication could be of curiosity to either topologists and algebraists, rather these involved in homotopy concept.
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Professor Peter Hilton is among the most sensible identified mathematicians of his iteration. He has released virtually three hundred books and papers on a number of points of topology and algebra. the current quantity is to have a good time the celebration of his 60th birthday. It starts off with a bibliography of his paintings, via stories of his contributions to topology and algebra.
Additional info for Topological Topics: Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday
Example text
Proof. We may as well assume t h a t Y and Z a r e CW-complexes, and the r e s u l t i s then a s p e c i a l case of Theorem 5 • May: The dual Whitehead theorems 53 This leads to the cohomological Whitehead Theorem, Theorem 6 (Whitehead). e :Y -• Z in The following statements are equivalent for a map h-3 between connected spaces Y and Z of the weak homotopy type of %ft--towers. (1) e i s an isomorphism in (2) e^:7r^(Y) •»• TT*(Z) i s an isomorphism. h3 . (3) e*:H*(Z;A) -»- H*(Y;A) i s an isomorphism for a l l (4) e*:[Z,X] -• [Y,X] is a bijection for a l l X&-towers X.
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