On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials

Journal of the European Mathematical Society ◽

10.4171/jems/468 ◽

2014 ◽

Vol 16 (8) ◽

pp. 1527-1554

Author(s):

Sal Barone ◽

Saugata Basu

Keyword(s):

Algebraic Sets ◽

Homotopy Types ◽

Additive Complexity

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Bounding the number of stable homotopy types of a parametrized family of semi-algebraic sets defined by quadratic inequalities

Proceedings of the London Mathematical Society ◽

10.1112/plms/pdn031 ◽

2008 ◽

Vol 98 (2) ◽

pp. 298-324 ◽

Author(s):

Saugata Basu ◽

Michael Kettner

Keyword(s):

Stable Homotopy ◽

Algebraic Sets ◽

Homotopy Types ◽

Quadratic Inequalities ◽

Parametrized Family

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On the minimization of Boolean functions for additive complexity measures

Diskretnyi analiz i issledovanie operatsii ◽

10.33048/daio.2019.26.640 ◽

2018 ◽

Vol 26 (3) ◽

pp. 115-140

Author(s):

I. P. Chukhrov

Keyword(s):

Boolean Functions ◽

Complexity Measures ◽

Minimization Of Boolean Functions ◽

Additive Complexity

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Affine algebraic sets relative to an algebraic theory

Journal of Geometry ◽

10.1007/bf01228678 ◽

1999 ◽

Vol 65 (1-2) ◽

pp. 54-76 ◽

Author(s):

Yves Diers

Keyword(s):

Algebraic Theory ◽

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Homotopy Types of Stabilizers and Orbits of Morse Functions on Surfaces

Annals of Global Analysis and Geometry ◽

10.1007/s10455-005-9012-6 ◽

2006 ◽

Vol 29 (3) ◽

pp. 241-285 ◽

Author(s):

Sergiy Maksymenko

Keyword(s):

Morse Functions ◽

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On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets

Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 ◽

10.1145/237814.237988 ◽

1996 ◽

Author(s):

Saugata Basu

Keyword(s):

Euler Characteristic ◽

Betti Numbers ◽

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The Stable Homotopy Types of Stunted Lens Spaces mod 4

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-98-02403-9 ◽

1998 ◽

Vol 350 (12) ◽

pp. 4775-4798 ◽

Author(s):

Huajian Yang

Keyword(s):

Stable Homotopy ◽

Lens Spaces ◽

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Connectivity in Semi-algebraic Sets

2010 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing ◽

10.1109/synasc.2010.91 ◽

2010 ◽

Author(s):

Hoon Hong

Keyword(s):

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Points near real algebraic sets

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2014-12172-1 ◽

2014 ◽

Vol 142 (12) ◽

pp. 4127-4132

Author(s):

W. M. Schmidt ◽

U. Zannier

Keyword(s):

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Iteration of polynomial mappings on algebraic sets

Complex Variables Theory and Application An International Journal ◽

10.1080/17476930008815310 ◽

2000 ◽

Vol 43 (2) ◽

pp. 187-197

Author(s):

Marta Kosek

Keyword(s):

Algebraic Sets ◽

Polynomial Mappings

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Coordinate Groups of Irreducible Algebraic Sets Over Divisible Metabelian r-Groups

Algebra and Logic ◽

10.1007/s10469-021-09634-y ◽

2021 ◽

Vol 60 (2) ◽

pp. 115-127

Author(s):

N. S. Romanovskii

Keyword(s):

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