The page uses Browser Access Keys to help with keyboard navigation. Click to learn moreSkip to Navigation

Different browsers use different keystrokes to activate accesskey shortcuts. Please reference the following list to use access keys on your system.

Alt and the accesskey, for Internet Explorer on Windows
Shift and Alt and the accesskey, for Firefox on Windows
Shift and Esc and the accesskey, for Windows or Mac
Ctrl and the accesskey, for the following browsers on a Mac: Internet Explorer 5.2, Safari 1.2, Firefox, Mozilla, Netscape 6+.

We use the following access keys on our gateway

n Skip to Navigation
k Accesskeys description
h Help
Cornell University    
 
    
 
  Nov 24, 2017
 
Courses of Study 2017-2018
[Add to Favorites]

MATH 6510 - Algebraic Topology


     
Spring. 4 credits. Student option grading.

Prerequisite: strong performance in an undergraduate abstract algebra course at the level of MATH 4340  and point-set topology at the level of MATH 4530 , or permission of instructor.

Staff.

MATH 6510-MATH 6520  are the core topology courses in the mathematics graduate program. MATH 6510 is an introductory study of certain geometric processes for associating algebraic objects such as groups to topological spaces. The most important of these are homology groups and homotopy groups, especially the first homotopy group or fundamental group, with the related notions of covering spaces and group actions. The development of homology theory focuses on verification of the Eilenberg-Steenrod axioms and on effective methods of calculation such as simplicial and cellular homology and Mayer-Vietoris sequences. If time permits, the cohomology ring of a space may be introduced.



[Add to Favorites]