02108nam 22004455 450 991055428240332120211027022714.03-11-075018-X10.1515/9783110750188(CKB)5400000000010175(DE-B1597)582735(DE-B1597)9783110750188(MiAaPQ)EBC7077910(Au-PeEL)EBL7077910(EXLCZ)99540000000001017520211027h20212021 fg engur|||||||||||txtrdacontentcrdamediacrrdacarrierUSCO and Quasicontinuous Mappings /L’ubica Holá, Dušan Holý, Warren MoorsBerlin ;Boston : De Gruyter, [2021]©20211 online resource (VIII, 298 p.)De Gruyter Studies in Mathematics ,0179-0986 ;813-11-075015-5 Frontmatter -- Register -- Contents -- 1. Usco mappings -- 2. Quasicontinuity -- 3. Applications of usco mappings -- 4. Topological properties of the space of usco mappings -- Bibliography -- Index of notation and conventions -- Index -- De Gruyter Studies in MathematicsThis book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.De Gruyter Studies in Mathematics Ser.Electronic books.Holá L’ubica, authttp://id.loc.gov/vocabulary/relators/aut722794Holý Dušan, authttp://id.loc.gov/vocabulary/relators/autMoors Warren, authttp://id.loc.gov/vocabulary/relators/autDE-B1597DE-B1597BOOK9910554282403321USCO and Quasicontinuous Mappings2839641UNINA