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15
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Dimension of a semialgebraic set equals the dimension of its closure.

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#algebraic-geometry #real-algebraic-geometry #semialgebraic-geometry
147
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Are these definitions of dimension for a real algebraic variety all equivalent?

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#algebraic-geometry #geometric-measure-theory #real-algebraic-geometry #semialgebraic-geometry
73
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Extension theorem over reals

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#algebraic-geometry #systems-of-equations #affine-varieties #groebner-basis #real-algebraic-geometry
173
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The derivative of a semialgebraic map is semialgebraic

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#derivatives #algebraic-geometry #real-algebraic-geometry #semialgebraic-geometry
32
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Defintion of a real algebraic space in Atiyah's K-theory and reality

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#k-theory #real-algebraic-geometry
57
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Totally positive/negative units in preordered rings with bounded inversion

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#commutative-algebra #real-algebraic-geometry #ordered-rings
315
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On the properties of sum-of-squares polynomials

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#algebraic-geometry #polynomials #sum-of-squares-method #real-algebraic-geometry #multivariate-polynomial
166
Views

Triangulation Theorem for semialgebraic maps

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#algebraic-geometry #real-algebraic-geometry #semialgebraic-geometry
68
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Is there a useful classification of the homogeneous spaces for real Lie groups?

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#representation-theory #algebraic-groups #unitary-matrices #homogeneous-spaces #real-algebraic-geometry
157
Views

Path connectedness equivalent to connected in euclidean topology for quasiprojective vareities?

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#general-topology #algebraic-geometry #connectedness #path-connected #real-algebraic-geometry
122
Views

Polynomial Maps of Real Projective Varieties

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#algebraic-geometry #projective-geometry #real-algebraic-geometry
91
Views

How can we know the Topology of $\{(x,y) \in \Bbb R ^2 : f(x,y)=0 \}$

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#algebraic-curves #low-dimensional-topology #real-algebraic-geometry
78
Views

Number of equations and number of variables in system of polynomial equations

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#abstract-algebra #algebraic-geometry #polynomials #systems-of-equations #real-algebraic-geometry
43
Views

Arbitrary sum of squares of rationals

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#model-theory #real-algebraic-geometry
90
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From high school level analytic geometry to elementary real algebraic geometry (reference request)

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#reference-request #book-recommendation #real-algebraic-geometry

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