PPT-HOMOTOPY FUNDAMENTAL GROUP

FUNDAMENTAL GROUP OF TORUS FUNDAMENTAL GROUP OF TORUS HOMOTOPY HOMOTOPY The torus and the mug are homotopic to each other HOMOTOPY Two functions in a topological space can be said to be . Mark Behrens (MIT). (joint with Mike Hill, Mike Hopkins, and Mark . Mahowald. ). Fantastic survey of the subject:. Milnor, “Differential topology: 46 years later”. (Notices of the AMS, June/July 2011) . and The Fundamental Groups. ---Jue Wang. ---Math 480. HOMOTOPY. HOMOTOPY. DEFINITION and PROPOSITION. Proposition:. The relation of . homo. t. opy. . on paths with fixed base points is an . equivalence relation. Sam . Kitchin. Definitions. A . path. is a continuous function over the interval [0,1] in a space X. A . loop. is a path that starts and ends at the same point, x. 0. , called the . base point . of the loop. Homotopy. Class Constraints. Subhrajit Bhattacharya . Vijay Kumar. Maxim . Likhachev. University of. Pennsylvania. GRASP. L. ABORATORY. Addendum. For the simple cases in 2-dimensions we have not distinguished between . Mcgahan. Knot Groups. Group:. A closed algebraic structure that has a law of composition with three properties . Associative. - (. ab. )c=a(. bc. ) for all . a,b,c. . in G. Identity. - G contains identity element I such that . Topics for Discussion. Fundamental Attribution . Error. Bystander . effect. Social Loafing. Group Processes. There are many valuable aspects of social psychology to be kept in mind, but these will be a good start =) . A.S. 1.1.1 – 1.1.3. Is the US a metric country? Should it be?. Read the article you’ve been handed with these two questions in mind.. 5. minutes—. silent . read and take notes.. Turn and talk to your group members (you all had the same article)—2 minutes. For the simple cases in 2-dimensions we have not distinguished between . homotopy. and homology. The distinction however does exist even in 2-d. See our more recent [AURO 2012] paper or [RSS 2011] paper for a comprehensive discussion on the distinction between . Peter K. álnai. Autumn school.  . Department . of Algebra. Ústupky. , . 24th – 27th November 2016. Algebraic topology. “Don’t be afraid of these ideas – you see them for the first time. When you see them for the tenth time, you won’t be afraid any more. They will have been safely stored on the list of things that you simply don’t understand.” . and The Fundamental Groups. ---Jue Wang. ---Math 480. HOMOTOPY. HOMOTOPY. DEFINITION and PROPOSITION. Proposition:. The relation of . homo. t. opy. . on paths with fixed base points is an . equivalence relation. Sam . Kitchin. Definitions. A . path. is a continuous function over the interval [0,1] in a space X. A . loop. is a path that starts and ends at the same point, x. 0. , called the . base point . of the loop. July 24, 2012. The Formula for Quality Instruction. The Fundamental 5. The Fundamental Five are the five critical practices that are at the core of highly effective instruction.. These practices are:. Nadav. . Dym. , Anna . Shtengel. and . Yaron. . Lipman. Weizmann Institute of Science. Morphing of planar . curves. . TOSA AGENDA. Content for TOSAs. Pink Wednesday Material. Planning time. Censensogram. Say the Last Word. Individually read the article. Identify a sentence you consider striking or important in each section.