MU04063 Algebraic and Differential Topology II

Mathematical Institute in Opava
Summer 2009
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Marvan, CSc. (lecturer)
doc. RNDr. Michal Marvan, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU04062 Algebraic and Diff. Top. I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives (in Czech)
Hlavním tématem druhé části čtyřsemestrového kursu algebraické topologie jsou singulární homologie a kohomologie.
Syllabus (in Czech)
  • Komplexy abelovských grup, homologie, morfismy komplexů, algebraické homotopie morfismů komplexů.
    Singulární simplexy, singulární řetězce, singulární homologie, homotopická invariance singulárních homologií.
    Dlouhá exaktní posloupnost homologií, barycentrické podrozdělení, vyříznutí, Mayerova-Vietorisova formule.
    Stupeň zobrazení, metody výpočtu.
    CW komplexy, celulární homologie, jejich identifikace se singulárními homologiemi.
Literature
    recommended literature
  • R. M. Switzer. Algebraic Topology - Homotopy and Homology. Berlin. info
  • Häberle, G.:. Technika životního prostředí pro školu i praxi. Praha, 2003. info
  • S. Mac Lane. Homology. Springer, Berlin, 1963. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 1997, Summer 1998, Winter 1998, Summer 1999, Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019.
  • Enrolment Statistics (Summer 2009, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2009/MU04063