02516nam a2200433 i 4500991003564259707536m o d cr nn||||mamaa181031s2017 sz o 000 0 eng d9783319694344331969434010.1007/978-3-319-69434-4b14352461-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng514.223AMS 55-06AMS 18-06AMS 00B25LC QA612-612.8Algebraic topology[e-book] :VIASM 2012-2015 /Nguyen H.V. Hung, Lionel Schwartz, editorsCham :Springer,[2017]1 online resource (vii, 180 p. 5 ill., 2 ill. in color.)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,0075-8434 ;2194Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G. Ginot, H.-W. Henn and G. Powell. They are all introductory texts and can be used by PhD students and experts in the field. Among the three contributions, two concern stable homotopy of spheres: Henn focusses on the chromatic point of view, the Morava K(n)-localization and the cohomology of the Morava stabilizer groups. Powell's chapter is concerned with the derived functors of the destabilization and iterated loop functors and provides a small complex to compute them. Indications are given for the odd prime case. Providing an introduction to some aspects of string and brane topology, Ginot's contribution focusses on Hochschild homology and its generalizations. It contains a number of new results and fills a gap in the literatureCategories (Mathematics)Algebra, HomologicalAlgebraic topologyNguyễn H. V. Hu'ngSchwartz, Lionelauthorhttp://id.loc.gov/vocabulary/relators/aut499397https://link.springer.com/book/10.1007/978-3-319-69434-4#tocAn electronic book accessible through the World Wide web.b1435246103-03-2231-10-18991003564259707536Algebraic topology1749205UNISALENTOle01331-10-18m@ -engsz 00