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Topological equivalence to a projection

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We present a necessary and sufficient condition for a continuous function on a plane to be topologically equivalent to a projection onto one of the coordinates.

Key words: Topological equivalence, projection.

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Article Information

TitleTopological equivalence to a projection
SourceMethods Funct. Anal. Topology, Vol. 21 (2015), no. 1, 3-5
MathSciNet 3407916
zbMATH 06533463
MilestonesReceived 25/11/2014
CopyrightThe Author(s) 2015 (CC BY-SA)

Authors Information

V. V. Sharko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Yu. Yu. Soroka
Taras Shevchenko National University of Kyiv, Kyiv, Ukraine 

Citation Example

V. V. Sharko and Yu. Yu. Soroka, Topological equivalence to a projection, Methods Funct. Anal. Topology 21 (2015), no. 1, 3-5.


@article {MFAT762,
    AUTHOR = {Sharko, V. V. and Soroka, Yu. Yu.},
     TITLE = {Topological equivalence to a projection},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {21},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {3-5},
      ISSN = {1029-3531},
  MRNUMBER = {3407916},
 ZBLNUMBER = {06533463},
       URL = {},

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