Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V. Topological methods in the fixed-point theory of multi-valued maps. (English. Russian original) Zbl 0464.55003 Russ. Math. Surv. 35, No. 1, 65-143 (1980); translation from Usp. Mat. Nauk 35, No. 1(211), 59-126 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 25 Documents MSC: 55M20 Fixed points and coincidences in algebraic topology 54H25 Fixed-point and coincidence theorems (topological aspects) 54C60 Set-valued maps in general topology 58C30 Fixed-point theorems on manifolds Keywords:topological fixed point theory for multivalued completely continuous maps in Banach spaces; degree theory for multivalued completely continuous maps with convex images; limit-compact fields; homological methods in finite dimensions; Vietoris-Begle theorem; Lefschetz theorem for acyclic- valued maps; topological degree for multivalued vector fields in infinite dimensional spaces; filtrations by finite dimensional subspaces; differential equations with multivalued right hand side Citations:Zbl 0227.54011; Zbl 0056.089; Zbl 0141.208; Zbl 0324.55002; Zbl 0158.151; Zbl 0183.516 PDFBibTeX XMLCite \textit{Yu. G. Borisovich} et al., Russ. Math. Surv. 35, No. 1, 65--143 (1980; Zbl 0464.55003); translation from Usp. Mat. Nauk 35, No. 1(211), 59--126 (1980) Full Text: DOI