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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Vydáno v:International journal of computer mathematics Ročník 43; číslo 1-2; s. 11 - 20
Hlavní autoři: Nakos, George, Glinos, Nikolaos
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Gordon and Breach Science Publishers 01.01.1992
Taylor and Francis
Témata:
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
Combinatorial method
Formal series
Computer algebra
Algebraic topology
ISSN:0020-7160, 1029-0265
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Popis
Shrnutí: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207169208804069