Infinite dimensional geometry and topology, functional analysis.
Main publications:
Semenov P. V. Paravypuklost grafikov lipshitsevykh funktsii // Trudy seminara im. I. G. Petrovskogo, 1996, 18, 232–247.
Semenov P. V. A counterexample to a Geoghegan–West problem // Proc. Amer. Math. Soc., 1996, 124, 939–943.
Semenov P. V. Teoremy o nepodvizhnoi tochke pri kontroliruemom otkaze ot vypuklosti znachenii mnogoznachnogo otobrazheniya // Matem. sb., 1998, 189(3), 141–160.
Repovs D., Semenov P. Continuous selections of multivalued mappings // Kluwer Ac. Publ., Ser. MIA, 1998, 455, 1–369.
Semenov P. V. On the Lebesque function of open coverings // Topology and its Appl., 2000, 107, 147–152.
Semenov P. V. On a contractivity
condition in fixed point theory and the theory of selections // Banach Center Publications, 2007, 77, 239–245.
