Maps of 2-manifolds into the plane

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.

Full Text

Article Information

Title	Maps of 2-manifolds into the plane
Source	Methods Funct. Anal. Topology, Vol. 18 (2012), no. 3, 220-229
MathSciNet	MR3051792
zbMATH	1265.58013
Copyright	The 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},
}