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This tag is used if a reference is needed in a paper or textbook on a specific result.
8
votes
Trying to find a 1949 Russian Paper on Transportation Theory
Apparently this is the book that contains your paper:
http://www.worldcat.org/title/problemy-povysheniia-effektivnosti-raboty-transporta/oclc/28097589&referer=brief_results
It's also present in Googl …
3
votes
Trying to find a 1949 Russian Paper on Transportation Theory
Here is the scanned book:
http://math.berkeley.edu/~pavlov/scans/transport.pdf
Enjoy.
Please consider putting it on your home page (if you have one) so that other scientists
who need this book in the …
4
votes
Accepted
Topologizing the category of measure spaces
As demonstrated by Andre Kornell in http://arxiv.org/abs/1202.2994,
the category of measurable spaces is closed with respect
to the monoidal structure given by the spatial tensor product (Theorem 9.5) …
2
votes
Accepted
Simplicial Objects in Additive Categories
For abelian categories this is known as the Eilenberg–Zilber theorem, see, for instance, Theorem 8.5.1 in Weibel's book. One can write down explicit comparison maps in both directions (namely, the Ale …
2
votes
Accepted
Any reference including a coordinate free proof of the inverse function theorem?
A coordinate-free proof of the inverse function
theorem in the finite-dimensional case
is provided by Theorem 19.6 in "Topological Geometry"
by Ian R. Porteous.
In general, the cited book is an expos …
2
votes
Accepted
A question about possibly $\infty$-category or functors
$T$ can be formalized as a natural transformation $\def\Vect{{\rm Vect}} \def\Vectc{\Vect_\nabla} \Vectc→Ω^n$ of functors $\def\Man{{\sf Man}} \def\op{{\sf op}} \def\Grpd{{\sf Grpd}} \Man^\op → \Grpd$ …
5
votes
Original reference for generators and relations of 2-dimensional TQFT
Generators and relations for the nonextended 2-dimensional bordism category already appear in Robbert Dijkgraaf's 1989 PhD dissertation, see Section 3.2.
2
votes
Accepted
Looking for Celeyrette's PhD thesis, "Fibrations et extensions de Kan"
There are two theses by Jean Celeyrette indexed by various libraries:
Theoreme de Kan dans un topos (Lille, 1974).
Catégories internes et fibrations ; Cohomologie de Gel'fand-Fuks (Paris-Nord, 1975). …
6
votes
A Learning Roadmap request: From high-school to mid-undergraduate studies
Here is my list.
I tried to make it more practical by supplying links to electronic versions whenever possible.
Rudin: Principles of mathematical analysis
Electronic version: http://libgen.org/get?n …
1
vote
A question on the ring structure of topological K-theory and Chern character
The product of $K^{−1}$ with itself can be defined by identifying $K^{−1}(X)$
with $K^0(X\wedge S^1)$ using the suspension isomorphism, multiplying the resulting two elements of $K^0(X\wedge S^1)$, o …
6
votes
Accepted
Weak composition rule for simplicial categories
The most obvious approach is to consider simplicial $\def\Ai{{\sf A}_∞}\Ai$-categories, where $\Ai$ denotes a nonsymmetric operad in simplicial sets that is weakly equivalent to the terminal operad, i …
2
votes
Accepted
Homologous quotient of fundamental groupoid
The resulting groupoid is equivalent to the disjoint union of groupoids $B(H_1(X_i))$
taken over all connected components $X_i$ of $X$.
This answers both 1 and 2 in the positive.
To see this, observe …
2
votes
Representing simplicial homotopy classes by empty cubes
Yes. The map ∂◻^{n+1}→S^n that collapses the complement of a single n-dimensional
face of ◻^{n+1} is a simplicial weak equivalence.
This implies that the induced map Map(S^n,K)→Map(∂◻^{n+1},K)
is a s …
7
votes
Relative category structure on (Set valued) presheaves
The usual constructions of Grothendieck homotopy theory (as presented by Maltsiniotis and Cisinski) can be easily extended to the setting of relative categories.
Recall that given a small category $A$ …
4
votes
Accepted
Is the standard model structure on reduced simplicial sets cofibrantly generated?
Yes, the model structure on reduced simplicial sets is cofibrantly generated.
An explicit proof of this statement is given by Goerss and Jardine in Simplicial Homotopy Theory, the proof of Proposition …