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Akira
  • Member for 8 years, 2 months
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  • Japan
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asked
Optimal Transport: how is this transport map Borel measurable?
awarded
 Custodian
reviewed
Approve
Hausdorff dimension of the non-differentiability set of a locally Lipschitz function
revised
Hausdorff dimension of the non-differentiability set of a locally Lipschitz function
deleted 7 characters in body
revised
Hausdorff dimension of the non-differentiability set of a locally Lipschitz function
added 129 characters in body
asked
Hausdorff dimension of the non-differentiability set of a locally Lipschitz function
accepted
Optimal transport: the existence of an optimal pair of $c$-conjugate functions
revised
Optimal transport: the existence of an optimal pair of $c$-conjugate functions
deleted 1 character in body
comment
Optimal transport: the existence of an optimal pair of $c$-conjugate functions
@JHM I have found a related paper. Please have a check on my below answer.
answered
Optimal transport: the existence of an optimal pair of $c$-conjugate functions
accepted
Let $c: X \times Y \to \overline{\mathbb R}$ be $\gamma$-measurable. Is $c_x:Y \to \overline{\mathbb R}, y \mapsto c(x, y)$ $\nu$-measurable?
revised
Let $c: X \times Y \to \overline{\mathbb R}$ be $\gamma$-measurable. Is $c_x:Y \to \overline{\mathbb R}, y \mapsto c(x, y)$ $\nu$-measurable?
edited tags
asked
Let $c: X \times Y \to \overline{\mathbb R}$ be $\gamma$-measurable. Is $c_x:Y \to \overline{\mathbb R}, y \mapsto c(x, y)$ $\nu$-measurable?
asked
Does an isometric automorphism of $L_p (X,\mu, E)$ preserve pointwise convergence?
accepted
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
comment
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
@MichaelGreinecker Thank you so much for your help! I got it. Could you post your comment as an answer?
revised
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
edited body
revised
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
edited title
revised
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
added 17 characters in body
asked
Does the topology of Wasserstein space $(\mathcal P_p (E), W_p)$ coincide with the initial topology induced by $\mathcal C_b(E) \cup \{g_p\}$?
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