##
###
Adjoint product and hom functors in general topology

Peter Wilker

1970
*
Pacific Journal of Mathematics
*

The ordinary product topology *on* R X S and the compact-*open* topology *on* T s will be given their proper setting in this context. ...
The *well* known natural equivalence [RxS,T] = [R, T s ], valid in the category of sets and set mappings, can be derived in various ways in the category of topological *spaces* and continuous maps, provided ...
Given S, the letter @ will be used to describe the *space* of *open* sets of S as *well* as the corresponding lattice, g, ©, will be used for *filters* *on* @, ^ gf, ^C, 3ίΓ, for families of such *filters*. ...

doi:10.2140/pjm.1970.34.269
fatcat:5ktizr6lenhofiiocdlwrxiow4