We show that, given a fibrewise pointed space (X, p, s), the smash product functor (-) boolean AND(B) X:Top/B* --> Top/B* has a right adjoint if and only if the product functor (-) x(B) X:Top/B --> Top/B has a right adjoint. (C) 1998 Elsevier Science B.V.
Fibrewise smash product and fibrewise mapping spaces / F. Cagliari, S. Mantovani. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 87:2(1998 Sep 11), pp. 127-132. [10.1016/S0166-8641(97)00163-6]
Fibrewise smash product and fibrewise mapping spaces
S. MantovaniUltimo
1998
Abstract
We show that, given a fibrewise pointed space (X, p, s), the smash product functor (-) boolean AND(B) X:Top/B* --> Top/B* has a right adjoint if and only if the product functor (-) x(B) X:Top/B --> Top/B has a right adjoint. (C) 1998 Elsevier Science B.V.
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