2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167963In the present paper we study bundles equipped with extra homotopy conditions, in particular so-called simplicial $n$-bundles. It is shown that (under some condition) the classifying space of 1-bundles is the double coset space of some finite dimensional Lie group. We also establish some relation between our bundles and C*-algebras.22 pages; v3: a new material in subsections 1.4. and 1.5. is added, minor changes and correctionsK-Theory and HomologyAlgebraic Topologytext