An Inequality Between Numerical Homotopy Invariants
Keyword(s):
In (1), Berstein and Ganea denned the nilpotency class of a based topological space. For a based topological space X we write nil X for the nilpotency class of the group ΩX in the category of based topological spaces and based homotopy classes. Hilton, in (3), defined the nilpotency class, nil class K of a based semi-simplicial (s.-s.) complex; actually, the restriction of connectedness can be removed. Hence, by using the total singular complex functor S, an invariant (nil class SX) can be defined for a based topological space X.
2019 ◽
Vol 7
(1)
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pp. 250-252
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1970 ◽
Vol 67
(3)
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pp. 553-558
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2021 ◽
Vol ahead-of-print
(ahead-of-print)
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2001 ◽
Vol 27
(8)
◽
pp. 505-512
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Keyword(s):
2004 ◽
Vol 2004
(70)
◽
pp. 3829-3837