query: Visual representation of the $V/\ker f$ and first isomorphism theorem
positive_passages.docid: 28422
positive_passages.text: What's an intuitive way of looking at quotient spaces?
negative_passages.docid: 128866
negative_passages.text: Isomorphism between dual space and bilinear forms
negative_passages.docid: 48524
negative_passages.text: Existence proof of the tensor product using the Adjoint functor theorem.
negative_passages.docid: 43170
negative_passages.text: inverse image of fiber product of scheme
negative_passages.docid: 26110
negative_passages.text: Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
negative_passages.docid: 48291
negative_passages.text: Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $
negative_passages.docid: 1756
negative_passages.text: 1-point compactification and embedding
negative_passages.docid: 143517
negative_passages.text: Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
negative_passages.docid: 66708
negative_passages.text: Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
negative_passages.docid: 85999
negative_passages.text: Geometrical representation of Contravariant and covariant vectors
negative_passages.docid: 75988
negative_passages.text: Explicit isomorphism $S_4/V_4$ and $S_3$
negative_passages.docid: 66895
negative_passages.text: A condition for the image of a metrizable space to be metrizable
negative_passages.docid: 40490
negative_passages.text: Birational isomorphism $\mathbb{P}^n\times \mathbb{P}^m\to \mathbb{P}^{n+m}$
negative_passages.docid: 102371
negative_passages.text: Proving that two vector spaces of equal dimension are isomorphic
negative_passages.docid: 101064
negative_passages.text: Showing the triviality of homomorphisms
negative_passages.docid: 52596
negative_passages.text: A basis for $k(X)$ regarded as a vector space over $k$
negative_passages.docid: 67199
negative_passages.text: Isomorphism $H_n(D^n, S^{n - 1};A)$ and $A$