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Maps of 2-manifolds into the plane

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Abstract

We define a $p$-graph and describe how it changes under isotopy of projections for classification of maps of $2$-manifolds into plane. The problem of graph implementation and maps classification are considered.


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Article Information

TitleMaps of 2-manifolds into the plane
SourceMethods Funct. Anal. Topology, Vol. 18 (2012), no. 3, 220-229
MathSciNet MR3051792
zbMATH 1265.58013
CopyrightThe Author(s) 2012 (CC BY-SA)

Authors Information

A. M. Bondarenko
Kyiv National University of Taras Shevchenko, 60 Volodymyrs'ka, Kyiv, 01601, Ukraine

A. O. Prishlyak
Kyiv National University of Taras Shevchenko, 60 Volodymyrs'ka, Kyiv, 01601, Ukraine 


Citation Example

A. M. Bondarenko and A. O. Prishlyak, Maps of 2-manifolds into the plane, Methods Funct. Anal. Topology 18 (2012), no. 3, 220-229.


BibTex

@article {MFAT627,
    AUTHOR = {Bondarenko, A. M. and Prishlyak, A. O.},
     TITLE = {Maps of 2-manifolds into the plane},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {18},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {220-229},
      ISSN = {1029-3531},
  MRNUMBER = {MR3051792},
 ZBLNUMBER = {1265.58013},
       URL = {http://mfat.imath.kiev.ua/article/?id=627},
}


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