query: The space of alternating multilinear maps and existence of a bilinear map
positive_passages.docid: 150674
positive_passages.text: Uniqueness in existence of a bilinear form
negative_passages.docid: 65472
negative_passages.text: From injective map to continuous map
negative_passages.docid: 50649
negative_passages.text: On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
negative_passages.docid: 121106
negative_passages.text: Parallelogram law valid in banach spaces?
negative_passages.docid: 102299
negative_passages.text: Bijection between $\mathbb{R}^n$ and $\mathbb{R}^m$
negative_passages.docid: 57269
negative_passages.text: A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
negative_passages.docid: 42941
negative_passages.text: Pair of adjoint functors and showing that two certain maps are inverses
negative_passages.docid: 145447
negative_passages.text: bilinear form - proof
negative_passages.docid: 147961
negative_passages.text: Characterizing simply connected spaces
negative_passages.docid: 38033
negative_passages.text: A surjective linear map into a finite dimensional space is open
negative_passages.docid: 48419
negative_passages.text: Difference between $\mathbb{R}$-linear and $\mathbb{C}$-linear maps
negative_passages.docid: 43503
negative_passages.text: Bases of complex vector spaces and the axiom of choice
negative_passages.docid: 61616
negative_passages.text: category of linear maps
negative_passages.docid: 81929
negative_passages.text: d-metrizable spaces are sequential
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 149999
negative_passages.text: fixed point of a continuous map on a projective space
negative_passages.docid: 65971
negative_passages.text: Double dual mappings