On some directions in the development of jet calculus
Volume 93 / 2011
Banach Center Publications 93 (2011), 251-260
MSC: Primary 53C12; Secondary 57R30, 58A20.
DOI: 10.4064/bc93-0-20
Abstract
Two significant directions in the development of jet calculus are showed. First, jets are generalized to so-called quasijets. Second, jets of foliated and multifoliated manifold morphisms are presented. Although the paper has mainly a survey character, it also includes new results: jets modulo multifoliations are introduced and their relation to $(R,S,Q)$-jets is demonstrated.