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Books on the topic 'Foundations of homotopy theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

R, Anderson Douglas. Boundedly controlled topology: Foundations of algebraic topology and simple homotopy theory. Berlin: Springer-Verlag, 1988.

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2

Combinatorial foundation of homology and homotopy: Applications to spaces, diagrams, transformation groups, compactifications, differential algebras, algebraic theories, simplicial objects, and resolutions. Berlin: Springer, 1999.

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3

Baues, Hans J. Combinatorial foundation of homology and homotopy: Applications to spaces, diagrams, transformation groups, compactifications, differential algebras, algebraic theories, simplicial objects, and resolutions. Berlin: Springer, 1999.

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4

Kamps, Klaus Heiner. Abstract homotopy and simple homotopy theory. Singapore: World Scientific, 1997.

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5

F, Jardine John, and SpringerLink (Online service), eds. Simplicial Homotopy Theory. Basel: Birkhäuser Basel, 2009.

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6

Antonio, Quintero, ed. Infinite homotopy theory. Dordrecht: Kluwer Academic Publishers, 2001.

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7

Crabb, M. C. Fibrewise homotopy theory. London: Springer, 1998.

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8

1975-, Sigurdsson J., ed. Parametrized homotopy theory. Providence, R.I: American Mathematical Society, 2006.

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9

Jardine, John F. Local Homotopy Theory. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4939-2300-7.

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10

Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. Rational Homotopy Theory. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9.

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11

Goerss, Paul G., and John F. Jardine. Simplicial Homotopy Theory. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0189-4.

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12

Crabb, Michael Charles, and Ioan Mackenzie James. Fibrewise Homotopy Theory. London: Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-1265-5.

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13

Goerss, Paul G., and John F. Jardine. Simplicial Homotopy Theory. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8707-6.

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14

Félix, Y. Rational homotopy theory. New York: Springer, 2001.

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15

Baues, Hans-Joachim, and Antonio Quintero. Infinite Homotopy Theory. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-009-0007-3.

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16

Dundas, Bjørn Ian, Marc Levine, Paul Arne Østvær, Oliver Röndigs, and Vladimir Voevodsky, eds. Motivic Homotopy Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-45897-5.

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17

Goerss, Paul Gregory. Simplicial homotopy theory. Basel: Birkhäuser, 1999.

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18

Félix, Y. Rational Homotopy Theory. New York, NY: Springer New York, 2001.

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19

Heller, Alex. Homotopy theories. Providence, R.I., USA: American Mathematical Society, 1988.

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20

Homotopy theory of schemes. Providence, R.I: American Mathematical Society, 2006.

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21

Félix, Y. Rational homotopy theory II. New Jersey: World Scientific, 2015.

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22

Selick, Paul. Introduction to homotopy theory. Providence, RI: American Mathematical Society, 1997.

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23

Peter, May J., and Steinberger M. 1950-, eds. Equivariant stable homotopy theory. Berlin: Springer-Verlag, 1986.

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24

Piccinini, Renzo A. Lectures on homotopy theory. Amsterdam: North-Holland, 1992.

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25

Elements of homotopy theory. 3rd ed. New York: Springer, 1995.

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26

Johnson, F. E. A. Syzygies and Homotopy Theory. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2294-4.

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27

Aubry, Marc. Homotopy Theory and Models. Basel: Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9086-1.

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28

Lewis, L. Gaunce, J. Peter May, and Mark Steinberger. Equivariant Stable Homotopy Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075778.

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29

Arkowitz, Martin. Introduction to Homotopy Theory. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-7329-0.

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30

Modern classical homotopy theory. Providence, R.I: American Mathematical Society, 2011.

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31

Hovey, Mark. Axiomatic stable homotopy theory. Providence, R.I: American Mathematical Society, 1997.

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32

service), SpringerLink (Online, ed. Introduction to Homotopy Theory. New York, NY: Springer Science+Business Media, LLC, 2011.

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33

1969-, Scherer Jérôme, ed. Homotopy theory of diagrams. Providence, R.I: American Mathematical Society, 2001.

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34

Society, European Mathematical, ed. Homotopy quantum field theory. Zürich, Switzerland: European Mathematical Society, 2010.

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35

Baues, Hans J. Algebraic homotopy. Cambridge [Cambridgeshire]: Cambridge University Press, 1989.

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36

Baues, Hans J. Homotopy type and homology. Oxford: Clarendon Press, 1996.

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37

Antolini, Rosa. Cubical structures and homotopy theory. [s.l.]: typescript, 1996.

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38

Homotopy theory of higher categories. Cambridge: Cambridge University Press, 2012.

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39

Østvær, Paul Arne. Homotopy Theory of C*-Algebras. Basel: Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0565-6.

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40

Mimura, Mamoru, ed. Homotopy Theory and Related Topics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0083687.

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41

Davis, Donald M., Jack Morava, Goro Nishida, W. Stephen Wilson, and Nobuaki Yagita, eds. Recent Progress in Homotopy Theory. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/293.

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42

Aguadé, Jaume, Carles Broto, and Carles Casacuberta, eds. Cohomological Methods in Homotopy Theory. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8312-2.

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43

Adem, Alejandro, R. James Milgram, and Douglas C. Ravenel, eds. Homotopy Theory and Its Applications. Providence, Rhode Island: American Mathematical Society, 1995. http://dx.doi.org/10.1090/conm/188.

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44

Kitchloo, Nitya, Mona Merling, Jack Morava, Emily Riehl, and W. Wilson, eds. New Directions in Homotopy Theory. Providence, Rhode Island: American Mathematical Society, 2018. http://dx.doi.org/10.1090/conm/707.

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45

Davis, Daniel, Hans-Werner Henn, J. Jardine, Mark Johnson, and Charles Rezk, eds. Homotopy Theory: Tools and Applications. Providence, Rhode Island: American Mathematical Society, 2019. http://dx.doi.org/10.1090/conm/729.

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46

1973-, Johnson Mark W., ed. A foundation for PROPs, algebras, and modules. Providence, Rhode Island: American Mathematical Society, 2015.

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47

M, Switzer Robert. Algebraic topology--homotopy and homology. Berlin: Springer, 2002.

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48

Milnor, John. Homotopy, homology, and manifolds. Providence, R.I: American Mathematical Society, 2009.

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49

Algebraic methods in unstable homotopy theory. New York: Cambridge University Press, 2009.

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50

Dula, Giora. Diagram cohomology and isovariant homotopy theory. Providence, R.I: American Mathematical Society, 1994.

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