悢妛摿榑係

僩億儘僕乕擖栧

島媊奣梫丗
偙偺島媊偼丄埵憡嬻娫榑丄嬋柺偺暘椶丄婎杮孮傗儂儌儘僕乕榑偲偄偭偨僩億儘僕乕偺婎慴偐傜巒傔丄3師尦懡條懱傗寢傃栚棟榑傪娷傓墳梡揑側僥乕儅偵敪揥偟偰偄偒傑偡丅悢妛偺廳梫側奣擮偱偁傞楢懕惈傗懡條懱偺婔壗妛揑峔憿傪妛傃側偑傜丄幚椺傗墳梡傪捠偠偰僩億儘僕乕偺妀怱揑側巚憐傪棟夝偡傞偙偲傪栚巜偟傑偡丅弶妛幰偵傕懳墳偟偨婎慴揑側撪梕偐傜巒傑傝丄墳梡揑側僥乕儅偵恑傓偙偲偱丄僩億儘僕乕慡懱偺懱宯揑側棟夝傪懀恑偟傑偡丅
庼嬈偺摓払栚昗丗
1. 僩億儘僕乕偺婎杮奣擮傪棟夝偡傞: 埵憡嬻娫丄楢懕幨憸丄婎杮孮丄儂儌儘僕乕孮側偳丄僩億儘僕乕偺婎慴揑側奣擮傗峔憿傪惓妋偵棟夝偟丄娙扨側栤戣偵揔梡偱偒傞丅
2. 懡條懱傗嬋柺偺峔憿傪攃埇偡傞: 暵嬋柺偺暘椶掕棟傗3師尦懡條懱偺婎杮揑側惈幙傪棟夝偟丄僩億儘僕乕揑側傾僾儘乕僠偱婔壗妛揑懳徾傪夝愅偱偒傞丅
3. 寢傃栚棟榑傗婎杮孮偺墳梡傪棟夝偡傞: 寢傃栚棟榑偺婎慴傗寢傃栚曗嬻娫偺婎杮孮傪寁嶼偟丄偦傟傪梡偄偰娭楢偡傞婔壗妛揑丒僩億儘僕乕揑側栤戣傪夝寛偡傞擻椡傪梴偆丅
4. 儂儌儘僕乕棟榑偺婎慴傪廋摼偡傞: 扨懱揑儂儌儘僕乕孮傗儅僀儎乕丒償傿乕僩儕僗姰慡宯楍傪寁嶼偟丄偦傟傪梡偄偰僩億儘僕乕揑側惈幙傪柧傜偐偵偡傞丅
5. 3師尦懡條懱偺棟榑傪墳梡偡傞: 僨乕儞庤弍傗JSJ暘夝傪棟夝偟丄3師尦懡條懱偺峔憿偵娭偡傞栤戣傪夝愅偱偒傞丅
6. 僩億儘僕乕偲婔壗妛偺娭學傪棟夝偡傞: 婔壗峔憿偺婎杮傪妛傃丄億傾儞僇儗梊憐傗婔壗壔梊憐偺撪梕偲偦偺塭嬁傪攃埇偡傞丅
7. 榑棟揑巚峫椡傪抌偊傞: 掕棟偺徹柧傗峔憿偺暘椶傪捠偠偰丄悢妛揑側榑棟偺峔抸曽朄傪廋摼偡傞丅
帠慜丒帠屻妛廗偺撪梕丗
帠慜妛廗: 奺夞偺僥乕儅偵増偭偰嫵壢彂傪撉傒丄掕媊傗婎杮揑側椺傪棟夝偡傞丅摿偵廳梫側掕棟傗惈幙偵偮偄偰偼丄偦偺攚宨傗揔梡椺傪挷嵏偟丄梊廗栤戣傪夝偔偙偲偱婎慴傪屌傔傞丅 帠屻妛廗: 庼嬈撪梕傪惍棟偟丄庼嬈拞偺椺戣傪暅廗偡傞丅怴偟偄栤戣傪夝偄偰棟夝傪怺傔丄娭楢偡傞掕棟傗庤朄傪懠偺嬶懱椺偵揔梡偟偰墳梡椡傪梴偆丅傑偨丄嫵壢彂傗嶲峫暥專傪梡偄偰晄懌晹暘傪曗嫮偡傞丅
庼嬈寁夋丗
  1. 戞1夞丗僩億儘僕乕偺婎杮奣擮
    埵憡嬻娫偲楢懕幨憸丄楢寢惈偲僐儞僷僋僩惈丄摨憡偲儂儌僩僺乕摨抣偺掕媊偲椺丅
    嶲峫暥專丗James R. Munkres, Topology
  2. 戞2夞丗嬋柺偺暘椶
    媴柺丄僩乕儔僗丄幩塭暯柺丄僋儔僀儞偺氣丅暵嬋柺偺暘椶掕棟偺徹柧丅
    嶲峫暥專丗John Stillwell, Classical Topology and Combinatorial Group Theory
  3. 戞3夞丗寢傃栚偺婎慴
    寢傃栚偺摨抣娭學丅惓懃昞帵偲儔僀僨儅僀僗僞乕堏摦丅岎揰悢丄棈傒悢丄嫶悢丄夝徚悢摍偺寢傃栚晄曄検
    嶲峫暥專丗懞悪朚抝, 寢傃栚棟榑偲偦偺墳梡丄Colin Adams, The Knot Book
  4. 戞4夞丗懡條懱偺婎慴
    埵憡懡條懱丄壜旝暘懡條懱偺掕媊偲椺丅
    嶲峫暥專丗John M. Lee, Introduction to Topological Manifolds丄John M. Lee, Introduction to Smooth Manifolds
  5. 戞5夞丗婎杮孮偺掕媊偲寁嶼
    婎杮孮偺掕媊丄桿摫弨摨宆丄晄摦揰掕棟丄婎杮孮偺儂儌僩僺乕晄曄惈丅
    嶲峫暥專丗徏杮岾晇, 僩億儘僕乕擖栧丄James R. Munkres, Topology
  6. 戞6夞丗僼傽儞丒僇儞儁儞偺掕棟
    帺桼愊偲梈崌愊丄僼傽儞丒僇儞儁儞偺掕棟丄孮偺昞帵丄暵嬋柺偺婎杮孮丄寢傃栚曗嬻娫偺婎杮孮偺償傿儖僥傿儞僈乕昞帵丅
    嶲峫暥專丗徏杮岾晇, 僩億儘僕乕擖栧丄James R. Munkres, Topology
  7. 戞7夞丗旐暍嬻娫偲婎杮孮偺娭學
    旐暍嬻娫偺摨抣偲婎杮孮偺嫟栶丄晛曊旐暍嬻娫丄旐暍曄姺孮丄旐暍嬻娫偺懚嵼
    嶲峫暥專丗徏杮岾晇, 僩億儘僕乕擖栧丄James R. Munkres, Topology
  8. 戞8夞丗儂儌儘僕乕孮偺掕媊偲寁嶼
    扨懱揑暋懱丄儂儌儘僕乕孮偺掕媊丄僆僀儔乕昗悢偲儀僢僠悢偺娭學
    嶲峫暥專丗揷懞堦榊, 僩億儘僕乕丄James R. Munkres, Elements of Algebraic Topology
  9. 戞9夞丗儅僀儎乕丒償傿乕僩儕僗姰慡宯楍
    嵔弨摨宆丄儅僀儎乕丒償傿乕僩儕僗姰慡宯楍丄暵嬋柺偺儂儌儘僕乕孮
    嶲峫暥專丗揷懞堦榊, 僩億儘僕乕丄James R. Munkres, Elements of Algebraic Topology
  10. 戞10夞丗3師尦懡條懱偺慺暘夝偲JSJ暘夝
    僋僱乕僓乕丒儈儖僫乕偺慺暘夝掕棟丄僓僀僼僃儖僩懡條懱偺掕媊丄僩乕儔僗暘夝掕棟
    嶲峫暥專丗怷尦姩帯, 3師尦懡條懱擖栧丄Allen Hatcher, Notes on Basic 3-Manifold Topology
  11. 戞11夞丗儌乕僗棟榑偲僸乕僈乕僪暘夝
    儌乕僗娭悢偲僴儞僪儖暘夝丄僸乕僈乕僪暘夝偺懚嵼丄僿儞儁儖嫍棧偲婔壗峔憿
    嶲峫暥專丗怷尦姩帯, 3師尦懡條懱擖栧丄Jesse Johnson, Notes on Heegaard Splittings
  12. 戞12夞丗僨乕儞庤弍偲儂儌儘僕乕媴柺
    僨乕儞庤弍偺掕媊丄寢傃栚偵増偭偨僨乕儞庤弍偱摼傜傟傞3師尦懡條懱偺儂儌儘僕乕孮
    嶲峫暥專丗栁庤栘岞旻, 僨乕儞庤弍丄Dale Rolfsen, Knots and Links
  13. 戞13夞丗億傾儞僇儗梊憐偲3師尦懡條懱偺暘椶
    億傾儞僇儗梊憐偲婔壗壔梊憐丄婔壗峔憿丄8偺帤寢傃栚曗嬻娫偺憃嬋峔憿丄3師尦懡條懱偺暘椶
    嶲峫暥專丗John Ratcliffe, Foundations of Hyperbolic Manifolds丄William P. Thurston, The Geometry and Topology of Three-Manifolds丄W.P. 僒乕僗僩儞, 3師尦婔壗妛偲僩億儘僕乕
  14. 戞14夞丗婜枛僥僗僩
    偙傟傑偱妛傫偩偙偲偵偮偄偰僥僗僩偟傑偡丅
嫵壢彂丗
亀僩億儘僕乕擖栧亁 彫戲惤
嶲峫彂丗
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