Computer algebra and desuspensions of stunted real projective spaces
In this work we apply computer algebra methods to partially solve a geometric problem which arises in algebraic topology. This is related to a particularly interesting formal power series, the [2]-series. Although our motivation stems from topology, we define the problems in a purely combinatorial w...
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| Published in: | International journal of computer mathematics Vol. 43; no. 1-2; pp. 11 - 20 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Abingdon
Gordon and Breach Science Publishers
01.01.1992
Taylor and Francis |
| Subjects: | |
| ISSN: | 0020-7160, 1029-0265 |
| Online Access: | Get full text |
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| Abstract | In this work we apply computer algebra methods to partially solve a geometric problem which arises in algebraic topology. This is related to a particularly interesting formal power series, the [2]-series. Although our motivation stems from topology, we define the problems in a purely combinatorial way and indicate its usefulness. The problem in its general form is a long standing conjecture. We exend results by Bendersky-Davis and Wilson by several dimensions. |
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| AbstractList | In this work we apply computer algebra methods to partially solve a geometric problem which arises in algebraic topology. This is related to a particularly interesting formal power series, the [2]-series. Although our motivation stems from topology, we define the problems in a purely combinatorial way and indicate its usefulness. The problem in its general form is a long standing conjecture. We exend results by Bendersky-Davis and Wilson by several dimensions. |
| Author | Nakos, George Glinos, Nikolaos |
| Author_xml | – sequence: 1 givenname: George surname: Nakos fullname: Nakos, George organization: Mathematics Department , US Naval Academy – sequence: 2 givenname: Nikolaos surname: Glinos fullname: Glinos, Nikolaos organization: Computer Science Department , US Naval Academy |
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| Cites_doi | 10.1080/00207169008803861 10.2307/2374359 10.1090/S0002-9904-1975-13891-2 |
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| Copyright | Copyright Taylor & Francis Group, LLC 1992 1992 INIST-CNRS |
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| Keywords | Combinatorial method Formal series Computer algebra Algebraic topology |
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| SubjectTerms | 1980 Mathematics Subject Classification (1985 Revision): Subject Index 55 Algebraic Topology Algebraic Topology Algorithms Exact sciences and technology Formal Power Series G.2.1 [Discrete Mathematics]: Combinatorics-combinatorial algorithms I.1.2, G.2.1, [Algebraic Manipulation]: Algorithms-algebraic algorithms Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis. Scientific computation Sciences and techniques of general use Symbolic Computations |
| Title | Computer algebra and desuspensions of stunted real projective spaces |
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| Volume | 43 |
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