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An Infinite Family of Non‐Invertible Surfaces in 4‐Space
Author(s) -
Asami Soichiro,
Satoh Shin
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003832
Subject(s) - mathematics , invertible matrix , mathematics subject classification , genus , integer (computer science) , space (punctuation) , pure mathematics , subject (documents) , orientation (vector space) , surface (topology) , combinatorics , geometry , zoology , computer science , linguistics , philosophy , library science , biology , programming language
A proof is given that for each non‐negative integer g , there is an infinite family of knotted surfaces of genus g , none of which is ambient isotopic to itself with the orientation reversed. 2000 Mathematics Subject Classification 57Q45, 57R42.