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15
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Submanifold generator and its Poincaré dual in a 5-dimensional real projective space

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#algebraic-topology #manifolds #homology-cohomology #geometric-topology #projective-space
27
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$\pi_j(G_{cont}/G_{finite})$

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#manifolds #lie-groups #homotopy-theory #quotient-spaces #exact-sequence
73
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Poincaré dual of $H^1(M,\mathbb{Z}_2)$ for a $\frac{\mathbb{CP}^2\times S^1}{\tau}$

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#algebraic-topology #manifolds #homology-cohomology #geometric-topology #quotient-spaces
35
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Is there a rule for "kinks" in boundaries of point sets?

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#manifolds #geometric-topology
82
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Poincaré dual of the trivial class $H^1(\mathbb{RP}^5,\mathbb{Z}_2)$

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#algebraic-topology #manifolds #homology-cohomology #geometric-topology #projective-space
120
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"Nearly-analytic" functions

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#calculus #real-analysis #manifolds #smooth-manifolds #analyticity
80
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Making a homeomorphism a $\mathscr{C}^k$-map

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
37
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Poincaré dual of the generators of $H^d(S^5/\mathbb{Z}_4,\mathbb{Z}_4)$

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#algebraic-topology #manifolds #homology-cohomology #geometric-topology #quotient-spaces
71
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When I say that $[0,1]/_\sim$ is the circle, do I have to prove it or it's obvious?

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#general-topology #manifolds
198
Views

Interpretation of Differential Algebraic Equation

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#ordinary-differential-equations #manifolds #dynamical-systems #smooth-manifolds #control-theory
465
Views

Prove the theorem of level sets as manifolds.

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
83
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Cobordant of Dold manifold and Wu manifold via fibered classifying spaces

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#algebraic-topology #manifolds #geometric-topology #fibration #cobordism
147
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Manifolds with varying (local or global) dimension

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#differential-geometry #manifolds #differential-topology #complex-manifolds
28
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$E_8 \oplus m[1]$ ever diagonal?

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#manifolds #geometric-topology #integer-lattices
1.3k
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An intrinsically curved surface with no extrinsic curvature

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#differential-geometry #manifolds #riemannian-geometry #geometric-topology

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