Dror Bar-Natan: Classes: Notebooks: 0708-1300

0708-1300_{
P5060001:	2000 Oct 29: Course intro, the implicit function theorem.
P5060004:	2000 Oct 29: Course intro, the implicit function theorem (2).
P5060005:	2007 Sep 11: Course intro, differentials.
P5060006:	2007 Sep 11: Course intro, differentials (2).
P5060007:	2007 Sep 13: The implicit function theorem.
P5060008:	2007 Sep 13: The implicit function theorem (2).
P5060009:	2000 October 31: Functional structures, etc.
P5060010:	2000 November 5: Manifolds.
P5060011:	2007 September 18: Inverse and implicit, manifolds.
P5060012:	2007 September 18: Inverse and implicit, manifolds (2).
P5060013:	2007 September 20: Continuation.
P5060014:	2000 November 12: Tangent vectors.
P5060015:	2000 November 12: Tangent vectors, immersions, local structure.
P5060016:	2007 September 25: Two definitions of manifolds, tangent vectors.
P5060017:	2007 September 27: Tangents, Hadamard's lemma.
P5060018:	2000 November 19: Immersions, submerssions, local structure.
P5060019:	2000 November 21: Regular points, Sard's theorem, transversallity.
P5060020:	2007 October 2: Immersions, submerssions, local structure.
P5060021:	2007 October 2: Immersions, submerssions, local structure (2).
P5060022:	2007 October 4: Local structures, Sard's theorem.
P5060023:	2007 October 9: Sard's, transversallity.
P5060024:	2007 October 9: Sard's, transversallity (2).
P5060025:	2007 October 11: Intro. to Sard, the Cantor Aerogel.
P5060026:	2007 October 11: Intro. to Sard, the Cantor Aerogel (2).
P5060027:	2007 October 11: Intro. to Sard, the Cantor Aerogel (3).
P5060028:	2007 October 11: Intro. to Sard, the Cantor Aerogel (4).
P5060029:	2007 October 11: Intro. to Sard, the Cantor Aerogel (5).
P5060030:	2000 November 26: More local structure.
P5060031:	2000 December 3: Whitney's theorem.
P5060032:	2000 November 28: Transversallity, Whitney, partitions of unity.
P5060033:	2007 October 16: Proof of Sard.
P5060034:	2007 October 16: Whitney.
P5060035:	2007 October 18: Whitney, partitions of unity.
P5060036:	2007 October 18: Whitney, partitions of unity (2).
P5060037:	Fubini from Guillemin-Pollack, HW3.
P5060038:	NSERC proposal material.
P5060039:	2007 October 23: A Peano Curve.
P5060040:	2007 October 23: A Peano Curve (2).
P5060041:	2007 October 23, 25: Peano, Whitney, classification of surfaces.
P5060042:	2007 October 30: Smooth retracts, smooth Brouwer, smooth approximation.
P5060043:	November 2007: Term Exam 1 planning.
P5060044:	2007 November 1: Tubular neighborhoods.
P5060045:	2007 November 1: Proper implies closed.
P5060046:	HW4.
P5060047:	On TE1.
P5060048:	Large Stokes'.
P5060049:	2000 December 31: Stokes', differential forms.
P5060050:	2001 January 16: Differential forms, R^3, pullbacks.
P5060051:	2001 January 19: Pullbacks, integration.
P5060052:	2001 January 21: The three dimensional theorems, Stokes'.
P5060053:	November 2007: Term Test.
P5060054:	November 2007: Term Test (2).
P5060055:	2007 November 6, 8, 13: Stokes', contractibility of S^infinity.
P5060056:	2007 November 20, 22: d, integration, orientation, Stokes'.
P5060057:	A Planimeter.
P5060058:	2007 November 27, 29: The planimeter, R^3, Maxwell.
P5060059:	1996 November 21: Maxwell.
P5060060:	2001 January 23: The planimeter.
P5060061:	Feynman's Classical
P5060062:	Handout: A
P5060063:	HW6.
P5060064:	HW6 (2).
P5060065:	2007 December 6: Homotopy for differential forms.
P5060066:	2002 March 12: The fundamental group.
P5060067:	2002 March 14: The lifting property, basic properties of the fundamental group.
P5060068:	2002 March 19: More properties, Van-Kampen.
P5060069:	2002 April 11: Covering spaces.
P5060070:	2004 November 11, 16.
P5060071:	2004 November 18: Homotopy theory light.
P5060072:	1996 June 9: The fundamental group of the circle.
P5060073:	2005 November 22, 24: Almost all functions are bad, fundamental groups.
P5060074:	2005 November 29, December 1: The fundamental group, covering spaces.
P5060075:	2008 January 8: The fundamental group, the circle.
P5060076:	2008 January 10: The circle, covering spaces.
P5060077:	2004 November 23: More homotopy theory light.
P5060078:	2004 November 25, 30: Borsuk-Ulam, Van-Kampen.
P5060079:	2004: December 2: Van-Kampen.
P5060080:	2004 December 7: Proof of Van-Kampen.
P5060081:	2005 December 6: Borsuk-Ulam, topological groups, homotopy light, Van-Kampen.
P5060082:	2005 December 8: Surfaces, Van-Kampen examples.
P5060083:	2008 January 15, 17: Liftings in covering spaces, applications, Van-Kampen.
P5060084:	2008 January 22, 24: Applications and proof of Van-Kampen.
P5060085:	2006 January 10: Van-Kampen and applications.
P5060086:	2006 January 12, 17: Applications and proof of Van-Kampen.
P5060087:	2006 January 19: Covering maps.
P5060088:	2006 January 24: Coverings, the lifting criterion.
P5060089:	2008 January 29: Two covering spaces.
P5060090:	2008 January 29: 14 covering spaces.
P5060091:	2008 January 29: Coverings, the lifting criterion.
P5060092:	2006 January 26: Classification by the fundamental group, the universal cover.
P5060093:	2006 February 1: The universal covering space.
P5060094:	2008 February 5: The covering space handout.
P5060095:	2008 February 5: The covering space handout (2).
P5060096:	2008 February 5: The covering space handout (3).
P5060097:	2008 February 5: The covering space handout (4).
P5060098:	2008 January 31, February 5, 7: Covering spaces.
P5060099:	2002 May 2: Simplicies and the boundary map.
P5060100:	2002 May 7: Simplicies, homology, functoriallity.
P5060101:	2002 May 9: Cont.
P5060102:	2006 February 2: More on thefundamental theorem of covering spaces.
P5060103:	2006 February 7, 9, 14: Basic homology
P5060104:	2008 February 12: Homology, the Abelianization of homotopy.
P5060105:	2008 February 12, 14: Homology, the Abelianization of homotopy (2).
P5060106:	2007 February 11: Term Exam 2.
P5060107:	2007 February 11: Term Exam 2 (2).
P5060108:	2002 May 14: The prizm, short to long exact sequences.
P5060109:	2005 January 25: Homology, homotopy invariance.
P5060110:	2005 January 27: The prizm, short to long exact sequences.
P5060111:	2008 February 26: A Homology Theory is a Monster.
P5060112:	2008 February 26: A Homology Theory is a Monster (2).
P5060113:	2008 February 28: Exactness.
P5060114:	2008 March 4: Long exact sequences, excision.
P5060115:	2008 March 6: Proof of excision.
P5060116:	2008 March 6: Proof of excision (2).
P5060117:	2008 March 11: Proof of excision.
P5060118:	2008 March 11: Proof of excision (2).
P5060119:	2008 March 13: The homology of spheres.
P5060120:	2008 March 18: Degrees.
P5060121:	2008 March 18: Degrees (2).
P5060122:	2008 March 20: CW spaces and homology.
P5060123:	2008 March 20: Degrees.
P5060125:	2008 March 25: CW spaces and homology.
P5060126:	2008 March 25: CW spaces and homology (2).
P5060127:	HW12.
P5060128:	Topological Pathologies in R^3.
P5060129:	Planning, the key diagram for CW.
P5060130:	The key diagram for CW.
P5060131:	2008 March 27: Things we skip, pathologies.
P5060132:	2005 March 10, 15: CW, RP^n.
P5060133:	2005 March 17, 22, 24: Mayer-Vietoris, Jordan's curve theorem, Borsuk-Ulam.
P5060134:	2005(?) March 30, April 4: Borsuk-Ulam.
P5060135:	2005(?) April 6: Invariance of domain, Borsuk-Ulam.
P5060136:	2008 April 1: Invariance of domain, Borsuk-Ulam.
P5060137:	2008 April 1: R^n theorems.
P5060138:	2008 April 3: Borsuk-Ulam, the necklace theorem.
P5060139:	2008 April 8: de-Rham cohomology and singular homology.
P5060140:	2008 April 8: de-Rham cohomology and singular homology (2).
P5060141:	2008 April 10: de-Rham cohomology and singular homology.
P5060142:	The Final Examination.
P5060143:	The Final Examination (2).
P5060144:	The Final Examination (3).
P5060145:	Annotated Term Test.
P5060146:	Annotated Term Test (2).
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