Seminarberichte Nr. 8

Hence there is a unique injective (~ dotted arrow) homomorphism making the diagram commutative; clearly, it has tobe surjective, and thus is an isomorphism. The

Die wichtigsten Beispiele orthogonaler M-Funktoren sind bereits in [26] an- gegeben: (~,~)-topologische Funktoren im Sinne von Herrlich [8], also insbe- sondere

If X,E are pointed topological spaces, then let TTEX denote the pointed track groupoid whose objects are the pointed maps X - E and whose morphisms are the

These functors are, roughly spoken, non-adjoint semitopological func- tors [12], more precisely: a functor is semitopological iff i t is presemitopological and

As mentioned in the introduction there exists a semitopological functor E preserving regular epimorphisms such that its comparison functor fails tobe regularly

Fläche und heißt das (topologische) Gesch1echt. *)Nach einem Vortrag im Mathematischen Kolloquium. Das rege Interesse der Xanstanzer ~ollegen hat mich veranlaßt,

The connectivity spaces forma topological category Zus over Set, but Zus is not cartesian closed.. The generaliza- tion was motivated by Purnplün's unpublished

Bourbaki leads to universally to- pological categories S(F).. I„J Which concrete co.tegories hnve realizationo in u.niversally.topologico.l fu.nctor- • tructured