Homotopy classification of nanophrases with at most four letters

Tomonori Fukunaga

Fundamenta Mathematicae (2011)

  • Volume: 214, Issue: 2, page 101-118
  • ISSN: 0016-2736

Abstract

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We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.

How to cite

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Tomonori Fukunaga. "Homotopy classification of nanophrases with at most four letters." Fundamenta Mathematicae 214.2 (2011): 101-118. <http://eudml.org/doc/283208>.

@article{TomonoriFukunaga2011,
abstract = {We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.},
author = {Tomonori Fukunaga},
journal = {Fundamenta Mathematicae},
keywords = {nanophrases; homotopy; multi-component curves; stable equivalence; virtual links; classification},
language = {eng},
number = {2},
pages = {101-118},
title = {Homotopy classification of nanophrases with at most four letters},
url = {http://eudml.org/doc/283208},
volume = {214},
year = {2011},
}

TY - JOUR
AU - Tomonori Fukunaga
TI - Homotopy classification of nanophrases with at most four letters
JO - Fundamenta Mathematicae
PY - 2011
VL - 214
IS - 2
SP - 101
EP - 118
AB - We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
LA - eng
KW - nanophrases; homotopy; multi-component curves; stable equivalence; virtual links; classification
UR - http://eudml.org/doc/283208
ER -

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