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Cohomological correspondence categories. / Druzhinin, Andrei; Kolderup, Håkon.

In: Algebraic and Geometric Topology, Vol. 20, No. 3, 2020, p. 1487-1541.

Research output: Contribution to journal › Article › peer-review

Harvard

Druzhinin, A & Kolderup, H 2020, 'Cohomological correspondence categories', Algebraic and Geometric Topology, vol. 20, no. 3, pp. 1487-1541. https://doi.org/10.2140/agt.2020.20.1487

APA

Druzhinin, A., & Kolderup, H. (2020). Cohomological correspondence categories. Algebraic and Geometric Topology, 20(3), 1487-1541. https://doi.org/10.2140/agt.2020.20.1487

Vancouver

Druzhinin A, Kolderup H. Cohomological correspondence categories. Algebraic and Geometric Topology. 2020;20(3):1487-1541. https://doi.org/10.2140/agt.2020.20.1487

Author

Druzhinin, Andrei ; Kolderup, Håkon. / Cohomological correspondence categories. In: Algebraic and Geometric Topology. 2020 ; Vol. 20, No. 3. pp. 1487-1541.

BibTeX

@article{7b141c38528e4873a4e7b8b112ac3f3e,

title = "Cohomological correspondence categories",

abstract = "We prove that homotopy invariance and cancellation properties are satisfied by any category of correspondences that is defined, via Calm{\`e}s and Fasel{\textquoteright}s construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an MSL–algebra.",

author = "Andrei Druzhinin and H{\aa}kon Kolderup",

year = "2020",

doi = "10.2140/agt.2020.20.1487",

language = "English",

volume = "20",

pages = "1487--1541",

journal = "Algebraic and Geometric Topology",

issn = "1472-2747",

publisher = "Geometry & Topology Publications",

number = "3",

}

RIS

TY - JOUR

T1 - Cohomological correspondence categories

AU - Druzhinin, Andrei

AU - Kolderup, Håkon

PY - 2020

Y1 - 2020

N2 - We prove that homotopy invariance and cancellation properties are satisfied by any category of correspondences that is defined, via Calmès and Fasel’s construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an MSL–algebra.

AB - We prove that homotopy invariance and cancellation properties are satisfied by any category of correspondences that is defined, via Calmès and Fasel’s construction, by an underlying cohomology theory. In particular, this includes any category of correspondences arising from the cohomology theory defined by an MSL–algebra.

UR - http://www.scopus.com/inward/record.url?scp=85086937608&partnerID=8YFLogxK

U2 - 10.2140/agt.2020.20.1487

DO - 10.2140/agt.2020.20.1487

M3 - Article

AN - SCOPUS:85086937608

VL - 20

SP - 1487

EP - 1541

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

SN - 1472-2747

IS - 3

ER -

ID: 98952154