Algebraic topology by michael starbird
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Algebraic topology by michael starbird
Algel )i aic T()])ologyM382CMichael StarbirdFall 2007Contents1Introduction51.1Basic Examples.............................................. 51.2Simplic Algebraic topology by michael starbird ccs................................................... 61.3Siniplicial Complexes....................................... 71.42-manifolds................................................. 91.4.12-manifolds as simplicialcomplexes................. 111.4.22-manifoIds as quotient spaces ................... Algebraic topology by michael starbird .. 141.5Questions.................................................. 1722-nianifolds192.1Classificat ion of 2-manifolds............................. 19Algebraic topology by michael starbird
2.1.1Classification Proof I.............................. 202.1.2Classification Proof 11............................. 232.2PL Homeomorphism...........Algel )i aic T()])ologyM382CMichael StarbirdFall 2007Contents1Introduction51.1Basic Examples.............................................. 51.2Simplic Algebraic topology by michael starbird ....... 282.3.2Orientability....................................... 292.4cw complexes............................................... 352.52-manilblds with boundary ................................. 382.6*Non compact siwfaccs...................................... 423Fundamental group Mild covering sp Algebraic topology by michael starbird aces'193.1Fundamental group.......................................... 503.1.1Cartesian products.................................. 563.1.2Induced hoinoAlgebraic topology by michael starbird
morphisms ............................. 573.2Retractions and fixed points............................... 583.3Van Kampeus Theorem, I..................Algel )i aic T()])ologyM382CMichael StarbirdFall 2007Contents1Introduction51.1Basic Examples.............................................. 51.2Simplic Algebraic topology by michael starbird , com4CONTENTS3.3.2Van Kampcn’s Theorem:simply connected pieces ease633.4Fundamental groups of surfaces.......................... 63Algel )i aic T()])ologyM382CMichael StarbirdFall 2007Contents1Introduction51.1Basic Examples.............................................. 51.2SimplicGọi ngay
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